What unbalanced ICs to amps...

If you go the realitycables.com route from Gregg Straley then be sure to get the slightly more expensive option of OFC RCA connectors, still way below your budget. Even his "original" connectors are overachievers. His tube IC design should prove immensely satisfying, as it does for me.
I'll also put in my usual plug for best micro-priced IC which is from Joe Mazzaglia of Auricle Audio Design who even builds his own proprietary RCA connectors. Bringing amazing performance to even the most budget conscious, as well as those who can afford to pay more.
Obviously, there is a matter of personal preference when dealing with the high quality components you listed. What speakers are in the system you are asking about?

Thanks all, to the suggestions. My budget is flexible as well, I know from previous posters, budget helps provide a guide for reasonable ideas.
Listener57, my speakers are PMC (Professional Monitor Company), AB1 monitors. They are 2 way, and sound very good with tubes vs solid state.

Just read some of the reviews on your superb speakers, for background.
Reality cables IC should do just fine since the descriptions of its transmission line bass and high frequency detail seems to parallel my own speaker's performance with transmission line bass and ribbon tweeter.
Gregg has a twenty day trial period to remove the anxiety of getting stuck with something you don't really love. Plus, he is available by phone before and after the sale.
If you check the Clearsound/Reimer speaker ads here on Audiogon then you can see another high quality speaker manufacturer used the same IC and speaker cable to demo their wares.

Try Audioquest Cheetah ICs: very natural & mellow; no strident characteristics. I'm using them between a VTL 5.5 tube preamp & M/F XP200 mono block amps.