In a few months, you will have a fully formed HTPC that meets your budget. Fan noise on an adequately configured non-gaming rig should no longer be an issue like it used to be (ugh!).
Truty be told, you have a myriad of HDTV choices @ 32". Although 1080p may narrow it down a little more. Why not start by first visiting some shops, taking notes, and coming back here with some choices?