Integrated amp for Focal Sopra 2

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There’s a Vitus RI-100 here for $5850 ($13,000 new) so well within your budget.  Just buy it, take your ball and go home. 
How loud do you play your music and are you vinyl, digiral, cds ?
Micromega M100 or M150, should able to find them for good price now. 
I had the focal sopra 2’s. Also had a audio research GSI75. This was a pretty great pairing. I see a few gsi75’s on audiogon right now. And right in your price range.
Norma Revo IPA-140B. It has a darker nature that will match very well with Focal and will only be limited by the gear around it.

Note: I am the distributor. I didn’t want to be from a pure business point (I wasn't really in a position to pick up another brand), but after I heard their amplifiers, I found alternative funding to make sure I could represent them.