Well, if 2-channel is your top priority I'd do it a little differently in an effort to put more of your budget toward stereo and less on the multichannel electronics. If this sounds like you, read on. And if not, just disregard.
With your budget I'd buy a Yamaha RX-A870 (a pretty respectable AVR with a good track record of reliability unlike many others, and you'll get all the latest tech versus an older prepro) from Accessories4Less for $550 and use that for multichannel processing duties and amplification for your center and surrounds if needed. With the remaining $1500 or so I'd buy a good, used stereo preamp with a HT bypass input. You may already know this, but you can then just hook the front L/R preouts from the AVR (which the RX-A870 has) to the HT bypass input on the stereo pre and you're done. You can then seamlessly switch between stereo and multichannel just by changing the input on the stereo pre, and the best part is that for critical 2-channel listening the AVR is completely out of the the signal path. Best of both worlds! Only downside is that you'll need one additional pair of interconnects to connect the AVR to the stereo pre (that you may have lying around anyway), and you'll have one additional box in your system -- if that's an issue. I used this setup for years before I had a dedicated listening room and it was a lifesaver -- even my wife could use it without a problem, and that's saying something.
Ok, if you're with me so far, right now there's a Pass Labs X-2.5 and a Hegel P20 for sale here for around $1500, and I think both offer a HT bypass. Frankly, with your wonderful DAC I think you'll get much more out of its performance capabilities in critical 2-channel listening with either of these steeeo pres than any prepro you'll get for $2k, at least IMHO.
As as for the remote, I'd drop a few bucks on a decent universal remote that will make your life a little easier and more pleasurable on a daily basis than any remote you're likely to get from a prepro. If the Yamaha comes with a learning remote you might be able to just get by with that though.
FWIW, this is absolutely what I'd do if 2-channel is your priority. Best of luck!
