I think an SG and a Rickenbacker would fill out your electric guitars needs.
A jumbo Gibson or Guild acoustic might be good for strummy stuff, as you put it.
Maybe a Music Man Stingray or a Hofner-style for bass guitar variety?
There could be a hundred distortion pedal suggestions. A Big Muff, Tube Screamer or Fuzz Face pedal seem to be the next obvious go-tos, though.