At worst I'll invest in the Unarmed skill as well (it starts quite high, alot of conversations increase your skill, and it is used in many quests). But yes, the turrets, NPC(s) and Enclve guards will also be capable of doing this work.
My Current Setup:
Female, age 25
Stats: ST 5, PE 8, EN 4, CH 6, IN 8, AG 10, LK 6
Traits: Gifted, One-Hander
Tag Skills: Small Guns, Speech, Lockpick
Skill Progression: First max out the three Tag ones, then move on to Science (up to 125) and Doctor (up to 75), then Unarmed, then Repair, then Traps.
Perk Progression: Level 3 Smooth Talker, level 6 Quick Pockets, level 9 Better Criticals, level 12 Living Anatomy, level 15 Bonus Rate of Fire, level 18 Action Boy, level 21 Action Boy, level 24 Sniper.
NPCs: Sulik, Vic and Cassidy early on; I'll let Vic go once I find Skynet/BrainBot. I'll take Skynet/Brainbot with me to the Oil Rig.
Playing Style: First and foremost a pistolero, high Perception and Agility and nice Luck make this quite easy; also a manipulative diplomat (will take the Smooth Talker perk).
Roleplaying: A gold-hearted "cowgirl" or rogue; steals (from lockers/chests etc, not people), but not from poor people; has honor so won't seduce/have sex with people to manipulate them (i.e. no discount at Metzger's) but only for sentimental worth (won;t mind a little flirt with nice NPCs). Will do quests for "nothing" if they serve a good purpose; will usually choose shooting rather than a peaceful solution, though.