Integrateds: Why do they all SUCK?

+ imhifiman. Great find. The OP can get one for each room and still stay within the budget. A true "integrated".

+1 on the Vinnie Rossi LIO (w/ DHT stage). I’ve owned Ayon Triton, Triton II, Accuphase E-560 and demoed the Luxman 590-AXii, as well as owned separates from Modwright and Herron.
The LIO was juuust right. As versatile as it gets and w/ the ultra-cap off-the-grid power, it’s the cleanest tube sound I’ve heard. Also the preamp is killer, as I am using it as DHT preamp only with a reference quality $15k amp...and the internal amp in LIO stood proudly not to far behind my amp. Excellent reviews and show coverage out there for the LIO. 

I've been out of the high end for a long time.  My last foray included an Auduble Illusions  3A  preamp and a Meitner STR-101 power amp.

Just like week I acquired a mint used Revox B150 integrated to drive my Mirage M590i speakers in a bedroom system.  Back then, circa the early to mid 1990s, I believe it sold for about $1,400 Can. Apart from being a little bright, it is fast, detailed, and exquisitely dynamic both on micro and macro passages, with thunderous bass. The midrange is very neutral and not quite as "romantic" as the abovementioned combo.

It is no Hegel 360 but is certainly in no way "crap".

I agree with jafant above. The Anthem STR series of integrated amps is two channel nirvana. I am about to upgrade to one, after owning one of their Integrated 225's. The only thing I don't like about it is that they are made in Canada instead of the US. 

I found an integrated that even has a turntable on top. Not sure that would fit the bill. Will send you a link, sure it would work well for you. I think is should drive your speakers, which are, well I can't remember what speakers you have. Sure they are worthy.