+1 for AMB, Ti is very helpful and very active on these forums and the forums he hosts on his site for each project.
I started with about the same budget as you and my first project was the CK2III, which is collaboration between AMB and Cavalli.
http://www.amb.org/audio/
Actually i think they are all pretty active on these forums supporting their projects, so hard to go wrong.
Builds with a PCB and through hole components I think are pretty easy to put together. You really just need to focus on orientation and drop in each part and away you go.
For amps:
m3 is good in this range, but I thought it was $200+ with a power supply.
I've had my eye on the EHHA for a second build... might be a little big for a bedside build (typical case is 12x12x3) and I haven't priced it out yet, so may be a budget buster as well. The rev A version looks pretty straight forward and gets good reviews. My wife can barely stand the little CK2III case I keep in the living room, so my first task is finding a place to put the EHHA without stirring up trouble...
The compact tube hybrid might be a good candidate for a bedside hybrid tube amp. Its got a compact layout though, so may be a more difficult build as a result.
SOHA II I thought was in this price range, but I can't access the site from work to see if it is the one i am thinking of.
http://www.cavalliaudio.com/
Millet has a few options in the price range, though you might spend the extra to get the pre-cut case bumping you out of the price range. http://www.diyforums.org/
Unless you are good at woodworking to make custom case parts or enjoy case work... whatever you pick I would recommend spending the extra on prefab case work if its available. I think it took me longer to do the case work than to solder my amp. Also consider spending a little extra on the nicer input/output connectors etc. I went nice on the front and middle of the road on back and wish i had just done all nice ones ;)