New CD player for an Ayre cx-7e

I've just purchased an Ayre Ax-7e, which I should receive next week. Right now I have a Rega Saturn which is, of course, a great player that I've enjoyed over the last year. However, I've compared for myself and read reviews that the Ayre performs WAY better when using the balanced inputs. The Saturn has only single-ended outputs so I think I'll be looking for a replacement with balanced outputs soon. An Ayre cx-7e might be a logical matchcup, but I'd like to open the field to other chioces, hopefully in the $1,0000 to $2,000 range. BTW, I already have some anti-cables IC's waitng for the new source. Any suggestions?