I would love that, however all the non-pro labs I've looked at offer ICC profiles only for esoteric printing substrates. They just say they require files in sRGB, which is easy enough to soft proof, I suppose, but perhaps not as accurate as a specific printer profile.
White House Custom Color seemed to be better than the others and offers free test prints to check color, but they also don't accept .jpegs compressed with quality set to the maximal value. (They say it doesn't make a difference in prints, but given I can detect a difference on my screen, I am not so sure.)
I fully realize no consumer printer is going to be perfect. I am simply looking for the best compromise. Ideally I would own a personal printer ("The best quality control is your own quality control"), but that is a while off.
I looked at your link but everything in my state is a Costco...