Paul:
If all you want is CD/SACD spinner and less than $10K and it sounds like to me it will be in occasional use, I agree with posters above. Either get a Sony 5400ES or an Oppo BDP-105 and send it to Dan Modwright and have him do his tube mods on it for an extra $2-3K, and you will be around the $4-4.5K mark and spinning CDs and SACDs and liking what you hear. Jeff (JJinID) has a Modwright modded BDP-105 and swears by it. It should play very nice with your Shindo gear. I believe Joe had a Sony 5400ES and he was always impressed with that little sucker.
If you do not want to deal with the hassle of sending it to get modded, then I would suggest:
1) Esoteric K-07, K-05 or K-03
2) Cary 303T or 306Pro (both no longer in production) so you will have to buy used or I have seen a few 303Ts BNIB on Audiogon
3) Unmodified Oppo BDP-105 or Sony 5400ES (although the Sonys are also no longer in production and you will either have to buy used or seek out a BNIB on Agon or the like)
4) Luxman D-05 or D-06
5) Marantz Reference CD/SACD players (SA-11S3 is their top of the line right now I believe in the $4K range)
All these are under $10K in terms of list prices, except for the Esoteric K-03 which is just above $10K but you can get new for under $10K for sure. Out of all these, if you want analog-like CD/SACD playback (if that is what you mean by being synergistic with Shindo, meaning having less digititis or a digital edge to it), my vote would go towards the Luxman players, and after them the Cary 303T if you can find it.
If you are willing to do the Modwright mods, I would probably go with the Oppo or Sony with tube mods from Modwright given the high praise they have gotten from users. The only issue with modded equipment is whether resale value drops considerably or not, and I don't know the answer to that question. I think the Esoteric gear is excellent but whenever I have heard Esoteric gear, I always feel like I know I am listening to digital playback...it has that digital sheen but I have admittedly not heard the current K-0X crop which have gotten excellent reviews. So something to think about since you asked specifically about Esoteric.
Hope this gives you some stuff to further research.