It is too bad you cannot listen to the different competitors since amplifier-speaker interaction can be important and is not always evident by looking at specs. One thing I have found by listening is that with SS amps, the output stage has a significant effect on how they sound to me. I almost always enjoy SS amplifiers with bi-polar output devices more than those using MOSFETs and that has remained constant at almost all price ranges up through Lamm's M1.2 Reference monoblocks at over $20K.
Here are a couple of amps you may consider that should sound very good on your 802s;
I had pretty good luck with Cary's discontinued CAD 500MB monos, which you can maybe find used in your price range. I believe these would not only provide the richness, warmth, and body you are looking for but would also provide exceptional control of the 802s. Do not get their newer SA-500.1 amps, which in my system did not have the same magic. Cary is still around to support repairs. I have had good luck with McCormack amps, although they sound very clean and clear, and do not add much mid-bass emphasis that you may need for the rich, warm presentation you are desire. You may even find a used DNA-500 in your price range. Pretty much built like a tank and Steve McCormack is still upgrading his amps and providing outstanding customer support at SMc Audio. Both of those amplifiers provide 500wpc into 8 ohms.
If you want small and cool-running, you might try the Class D offerings from DSonic and particularly the M3-1500M monos that are in your price range new - review here;
http://www.6moons.com/audioreviews/dsonic/1.html
The review provides some detailed impressions of how those amps sounded to the reviewer (which seem to correspond with exactly what you are looking for) and concludes,
Here are a couple of amps you may consider that should sound very good on your 802s;
I had pretty good luck with Cary's discontinued CAD 500MB monos, which you can maybe find used in your price range. I believe these would not only provide the richness, warmth, and body you are looking for but would also provide exceptional control of the 802s. Do not get their newer SA-500.1 amps, which in my system did not have the same magic. Cary is still around to support repairs. I have had good luck with McCormack amps, although they sound very clean and clear, and do not add much mid-bass emphasis that you may need for the rich, warm presentation you are desire. You may even find a used DNA-500 in your price range. Pretty much built like a tank and Steve McCormack is still upgrading his amps and providing outstanding customer support at SMc Audio. Both of those amplifiers provide 500wpc into 8 ohms.
If you want small and cool-running, you might try the Class D offerings from DSonic and particularly the M3-1500M monos that are in your price range new - review here;
http://www.6moons.com/audioreviews/dsonic/1.html
The review provides some detailed impressions of how those amps sounded to the reviewer (which seem to correspond with exactly what you are looking for) and concludes,
" The strengths of the M2-1500M in all combinations were obvious - detail, ease of dynamics, soundstaging and warmth. These remained core. Were there weaknesses? If the amplifier displayed a failing, it was a touch warm and forgiving. Perhaps the correct term might be "overly analog".... Some may interpret that as being a touch uncritical. Most will welcome it as acoustically natural.....The D-Sonic qualifies as true high end and deserves to be examined against higher tier components. It certainly competes against the best of its digital brethren and all tube and SS amps that have been in house."