Dodd is to single ended as __ is to balanced.

Try a BAT VK31SE. The price is close to your goal, used.
I really like mine. It sounds very close to my Pass X1.
I actually like the BAT better with single ended sources like my Arcam DVD. The Pass still has a larger soundstage, with my Electrocompaniet CD player in balanced mode....

I'd second the BAT notion.... having had 3 BAT amps. They are indeed quiet, well made, and have a dead backdrop. They are great poeople to deal with during support items/issues, if they arise, be it a new or preowned purchase. BAT's a class act.

Try the Atma-Sphere MP-3 or stretch for the MP-1, either way you'll have a first rate truly balanced pre. Good luck.