One man's water is another man's poison..... there are probably hundreds of different ways to be a sneaky/assassin/thief and each will be unique to the next
This!
I can only tell you how my thief assassin was.
I used
Marksman:almost all the perks(I didnt use any one handed)
Sneak:again almost almost all the perks,but you only need one stealth perk.
Alchemy:almost all the perks again.
Light armor:A couple of perks is all I needed( you rarley get hit)
Pickpocket:for the poisoner perk and extra pockets is nice,it made thieving fun.
Lockpicking:a couple of perks,mostly just for role playing though.
As for health and stamina.
I kind of like alot of stamina so I split the points 50/50 until I hit about 250 stamina then I focused only on health.
You certainly don't need any magick but if you decide you want some you can take out the pickpocket,lochpicking and lightarmor perks for all the Illusion perks.
With Illusion you won't really nead armor but you will need lots of magicka so focus points something like 2/2/1 magick,health,stamina.
I know you said you don't like magick but I through it out there just in case.
One handed is a good skill also but either pick one handed or archery as you have a difficult time leveling both.
Something I liked to do was to play with consequences.
If your caught pickpocketing or any other crime I either went to jail or ran like heck.
I never liked the I'm a thane option or just paying your bounty off,it doesn't seem realistic to me.
But most important
Happy killing
