Thread is a month old, you may have already made a decision, but since it is still active I'll share. Not saying my option is the best, but it is what I have.
I don't think there has been any bad advice so far. It comes down to preference and budget. I'll only say that if the tent says it is rated for 4 people in reality 2 with cots and gear is crowded. I'd suggest at least an 8 person tent for 4 people. And even that is crowded.
This is what I have
http://www.cabelas.com/product/Cabelas-Alaskan-Guide-Model-Geodesic-person-Tent/1571266.uts?searchPath=/browse.cmd?categoryId=734095080&CQ_search=alaskan+guide+tent
It is 12'X12'. almost 7' tall in the center, and about ideal for 2 people, 3 wouldn't be too bad even though it is sold as an 8 person tent. Four could sleep there, but there wouldn't be much extra room. If I had to sleep 4 people I'd buy 2 of these and be within your budget. I can put it up by myself, but it is a lot easier with help.
This isn't designed for a wood stove, but that is the only criteria it doesn't meet. I heat with propane when needed.