Without comment on the suitability of your Taco as a tow vehicle, you're correct, it's hard to find newer campers without all the amenities. After all, people buy campers so that they DO have the amenities of home when they are camping.
I'd suggest either a small toy hauler. Usually pretty light for their size as they are designed with more cargo in mind than std TTs.
Or if you want to go basic, get a cargo trailer and outfit it with only the amenities you want. Like most projects though, you'd probably be able to buy a comparable camper by the time you spent a bunch of $ upgrading the cargo trailer.