The minidsp piece is nice, but gets a premium for Dirac room correction. Do they offer a version without Dirac? (Good speakers, which those Revels and KEF models are, are unlikely to benefit from "room correction" eq.)
Unfortunately, stereo kit with bass management is a niche market. If you want full bass management in two channel kit it's going to be expensive. The few options I know of are even more pricey than the miniDSP. Parasound HINT are nice but expensive. Outlaw's retro styled integrated has comparably crude but effective analog bass management, but its in the same cost ballpark as the miniDSP (if it's even available over there).
Any AVR would have bass management, but one with your power requirements will be mid tier and up, also expensive (but dime-a-dozen on the used market, which may be the most cost effective route).
My office setup is similar to your proposed setup, and to avoid the relatively huge form factor of an AVR I use a slimline Marantz AVR and outboard amplification. By the time you piece that together, it's also getting up there in price.
All the options (except used) are a far cry from the Yamaha stereo integrated you were contemplating in your other thread. How critical is the ability to high pass your mains to you? Enough to spend the extra $1k? Saving that money and foregoing a hpf won't be much of a compromise unless you plan on really flogging the speakers. How loud do you expect to listen? How big is your room?