It aint heathenous... several good Telecasters need at least one semi-hollow or full-hollow (hehe), my Gibson ES-135:
While I really dislike Epiphones in general, oddly enough I have no problems with their non-solidbodies. I'd suggest the Casino out of the three you mentioned.
You might want to keep an eye on eBay for used Epiphone Es-295's, Sorrento's, Riviera's, Casino's, Sheraton's, etc.
I had my eye on a brand new Epi Sorrento for a few years at a local guitar shop when I finally got that Gibson... I went back a few weeks after my ES-135 got here (you know, for a backup hehe) and the Sorrento was gone :(