You should, I love 'em style wise, and the slight semi-hollowing makes 'em lighter than average too.
I have no guitar amp, I'm using Amplitube for now, with the Fender sims, but I'm waiting on delivery of a Genz Streamliner and TC 112 cab, hoping that'll do as a multi-tasking rig, maybe throw a Tube Screamer & Carbon Copy in front of it for guitar work....
Stereotypical Tele sound, I'd assume you're right Deluxe Reverb, or maybe a Twin...
If the Genz doesn't work as well as expected for the skinny 6, I was thinking of picking up one of them tiny all tube amps, you know 1-10w, Blackstar or something, probably with reverb, should do the trick.
I hear that about practicing, but gear is just too much fun!