Thinking about making a character to fit the title description. Absolutely terrible person who fights melee/unarmed. This is what I have for stats:

S: 9
P: 1
E: 9
C: 1
I: 9
A: 7
L: 4

And perks:

2: Confirmed Bachelor
4: Educated
6: Cannibal
8: Super Slam (Melee 45, STR 6)
10: Finesse
12: Silent Running (Sneak 50, AGI 6)
14: Piercing Strike (Unarmed 70)
16: Stonewall (STR 6, END 6)
18: Purifier
20: Ninja (Melee 80, Sneak 80)
22: Paralyzing Palm
24: Slayer (Unarmed 90, AGI 7)
26: Tag!
28: ?
30: ?

I'm not sure what other perks to take, or where to slot them in. I'd like to work in Comprehension somewhere, though I don't think it will be extraordinarily necessary. Mister Sandman would be good, but I don't know which perks are ok to delay and which should really be taken ASAP. Is Ghastly Scavenger worth a slot? What about Unstoppable Force- do enemies block often? I leveled my first character to 100 in Unarmed endgame and never saw anyone block, but I rarely used the skill. This will be on regular, not hardcoe, so I'm not concerned about weight limit perks. I didn't have much issue with a 5 STR on hardcoe, so without needing to carry food/water/ammo and having a much higher weight capacity, I should be fine.

Also, is Friend of the Night any good? I was going to take Confirmed Bachelor for the bonus damage (since a terrible person won't keep Arcade around for long), but if FotN actually makes a noticeable difference in visibility, I might take that.

Traits would be Wild Wasteland and Good Natured. Good Natured is basically because the five bonus skills are all useful, whereas I won't use three of the weapon skills that take a hit. And I took WW on my first character, but I just don't see anything else useful unless Heavy Handed is actually good for melee characters. I remember the old Fallout games, though, and the lack of crit seriously overwhelmed any bonus damage.

Is this pretty good or have I bungled it somewhere?

Your SPECIAL selection is more oriented toward a non-crit/heavy handed trait build. If you want to focus on crit I would recommend something like this:
S: 8 +1 implant = 9(10 with power armor or Cass and whiskey)
P: 5 +1 implant = 6
E: 7 +1 implant = 8
C: 1
I: 5 +1 implant = 6
A: 6 +1 implant = 7
L: 8 +1 implant, +1 Intense Training = 10

Use your last implant slot for +4DT

Perks: I was using confirmed bachelor a lot, but humans are just not that deadly for the most part and I prefer to take an Intense Training at level 2, as none of the perks are that great. Cannibal is a wasted perk on Normal/No-hardcoe. Melee/Unarmed are very strong at low levels and Super Slam probably shouldn’t be taken that early. You probably won’t see the effect process very often because enemies will die too fast. I would recommend taking a few defensive perks early on, and then getting the more offensive perks as you begin to encounter harder enemies. This should start at level 12, where Piercing Strike should be your first priority. Silent Running at that point is kind of wasted because you shouldn’t need stealth for lower level enemies that die in 1-2 hits anyway, so I would wait until later when you are raising your stealth to get to Ninja. I would go with these:

2: Intense Training - Luck
4: Educated
6: Toughness
8: Stonewall
10: Toughness
12: Piercing Strike
14: Bloody Mess
16: Better Criticals
18: Silent Running
20: Ninja
22: Finesse
24: Slayer
26: See Below
28: See Below
30: See Below

Pick the three of these you like best and throw them in the last few perks, or take them earlier if you like:

Paralyzing Palm (Useful against tougher opponents, irrelevant against easier ones)
Super Slam (Useful against tougher opponents, irrelevant against easier ones)
Purifier (only really desirable because of Deathclaws, I would see how you fare fighting them without it before using a perk on it)
Comprehension(Make sure not to read any skill books until you get this perk if you plan on taking this)

To your other perk questions:
Unstoppable Force only works against humans and Super Mutants in melee combat. Not worth it IMO.
Mister Sandman isn’t worth it. You shouldn’t have any problems stealth killing an entire town while they are *awake*.
Ghastly Scavenger – svcks.
Friend of the Night – svcks.
Confirmed Bachelor – Ok, but not that great.

Traits: Use Heavy Handed for a non-crit build, or Built to Destroy for a crit build. Nothing else is really that good. Good Natured is only worthwhile if you maxed all those skills, and becomes less so since you will be leveling two weapon skills.

Skills: You should be able to get 6-7 skills maxed (88+skill books, you can use less points and max more skills if you plan to use magazines and Comprehension).

I would go with:
Unarmed Max
Melee Max
Sneak Max
Lockpick Max
Science Max
Speech Max
Some in Repair (25 I think it is for Weapon Repair Kits)
Some in Medicine or Barter

Both Crit and Non-Crit melee builds are viable. IMO Crit builds are better if you want to utilize Sneak, and Non-Crit builds are better if you want to forego that. Non-Crit builds get more skill points and perks to play with (because you would probably be foregoing Better Criticals, Silent Running, Finesse and Ninja, and tanking Perception and Luck in preference of Intelligence and agility), and crit builds get to utilize some really massive sneak attacks.

Cannibal is a wasted perk period. Its only use is role playing.

I just built a Critial Dmg Melee build, and it worked great for me, but after playing it I realized that a heavy handed build might also be just as fun, Because I could get all the implants.

Luck Build
8
7
6
1
3
6
9

1 Intense Training:Strength
2 Educated
3 Comprehension
4 Stonewall
5 Toughness
6 Finesse
7 Toughness
8 Piercing Strike
9 Better Criticals
10 Ninja
11 Silent Running
12 Slayer
13 Jury Rigging
14 Unstoppable Force
15 (Your Choice) Bloody mess is quite fun with a melee build

You can leave your favored skills at 84 and just find the skill books to make it to 100, I also went for the Golden Gloves early on and was able to solo Giant Rad Scorpions at lvl 4.