High Current SS amps with input impedance = 200K


I'm looking to identify amps like this that would match optimally to an Audio Research sp16 tube pre-amp with output impedance of ~ 20K?
128x128mapman
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My strategy will be to play it safe and go with a high current SS amp that doubles output into 4 and eve 2 ohms as much as possible and has a higher input impedance, along the lines of those I mention above. That will optimize electronic interfaces both in from pre-amp and out to speakers.

From there, whatever amp used will be in an optimal position to synergize with pre-amp and speakers and deliver its best performance as a result, whatever that may be, I would say.
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This is primarily for the OHM 5s which have a somewhat difficult load, are only 87db efficient and the more juice, the merrier.

Power requirement: 250w/ch minimum doubling into 4, high current.

I'd like to stay under $2500 if possible for now.

Also, logistically, I would prefer to stay away from large heavy, hot running monster amps if possible. I know that limits my options....