Fast travel only if settlement attacked (hasn't happened yet) and when scrapping a place I cleared because we still don't have Brahms as possible companions, like we don't all use them as backbacks anyways since we first had companions since the first game that had companions came out. I would actually be ok babysitting a Brahm full of my looted gear, back to my base. Would make a hell of a lot more sense then a couple fast travels with both me and my companion both carrying 250lbs.
Only if makes sense to use the PA; I use it...don't see myself recon stomping threw areas.
Pretty much stick to SniperRifle handgun both silenced and an auto-shotgun called Betty when things didn't go my way. But I will go/carry a Fatboy if I know I will be up against something like a chopper. Nothing wrong with flying things that go boom when against something that flies and goes boom itself.
I usually sell most meds apart from stims, and rads med, don't use them all that much but see nothing wrong with a mentat when you need to crack that code, althought with the new perk system I don't see how that it'll help seeing I need the perk star to do whatever it says I can do *shrugs*
Eat drink, but honestly it's just for the motion if I remember about it at all. Do sleep when I finish a job or recon that way I go out all fresh feeling 
Save before fight/going into a structure but it's more in case of a bug then anything else, before conversations too, but more to see what the possibilties could be. I usually redo what I chose in the first place even if I failed or realise that another way would have given me more possibilities.
I'm basically CG who skates the line with CN pretty sharply sometimes so choices wise it's pretty open, way I like it RPwise but it's more of a mental process then anything else with this game.