Welcome to the group:
I am afraid you have put down a tough set of specifications to fill in your search for an FGRV.
The CRV is just able to pull a 13' based on it's manufacturers rating. We pull our 13' Lil Bigfoot
with our CRV and the MPG's plummit to about 18 on a good day. And that's in a 55MPH trailer towing limit in CA
There are a very few (I'm guessing less than 10%) of 13'ers that also have a fixed dinette, but those that don't also have a bathroom, usually have a front couch that works well with folding tables such as Coleman makes. Thats what we do to avoid taking the bed down to eat in the Lil Bigfoot
A bigger hurdle, especially this time of year, is your budget. That upper limit will usually buy a "fixer" that you will get to put about the same amount into in repairs. For the most part, ready to go camping rigs start at about $5000 and go up, up, up.
However, if you are quick, there is currently a Hunter Compact-II on CraigsList in Phoenix for only $1500, a real buy that won't last more than a day or two.
It's fairly basic, but you will have some fix-up money left over.
We love our Hunter Compact-II and it's even easier to pull than the Lil Bigfoot
with the CRV.