Which CD\SACD?

You might find a used Ayre C-5xeMP in that price range.  In my experience, the Ayre can provide the sound you seek.

Look for Denon DVD-5910, I used to own this player.  IMO, last true reference player produced by Denon.  

You can get it probably under 1K. 

I'll "third" the Marantz--listening to my SA-11S2 right now and it's just "right" whether I'm listening to redbook or SACDs.  Today's lineup has included The Eagles' "Long Road Out of Eden" (both discs--CD), Karajan's Beethoven's 9th (SACD), Pink Floyd's "Dark Side of the Moon" (SACD), and Tony Bennett/Bill Evans (XRCD).  

I've never heard the Oppo, modded or unmodded, described as "rich".  

I'll "fourth" the Marantz suggestions.