Looking for a integated amp.

For a solid state integrated Audio Refinement Complete would be an excellent choice (and has optional remote). I use and really like a Consonnance Cyber 10 tubed integrated (no remote)... both fit your budget. Jeff

Peruse the classifieds, pick some from your price range, do some research, and go for it.
At seven hundred bucks you'll find your choices limited.

In solid state...

I see there's a Denon PMA 2000 for sale. They're not too bad.

Also there is a Simaudio Celeste that fits your budget and a Roskan Kandy MKIII & Roskan Caspian as well.

The Classe CAP-100 listed on the gon might be your best buy at this time. (IMHO)

disclaimer - I'm not a shill for any of the aforementioned sellers.

Audio Refinement all the way. I have to disagree with Hbarrel. Your choices in the 700 range are not that limited. There are many choices available. But.. with those speakers, the audio refinement may well be your best bet. Should be able to be had for less than 600 dollars.