best integrated amp.

If the $5 to $7k is for new, then take a look at Luxman. Lots of features, built in phono and headphone stages. If you don’t mind used, there is a huge array of possibilities. The used market is very depressed right now and if you are patient, you can store a huge deal on gear that is less than one year old at 50% or less than retail.

If you could find a used Accuphase E-470, it would be "game over".  They don't come up very often but well worth the wait and could be acquired for around $7,000 or so. 

Luxman L-590AX is a great Class A amp but I am not sure what the Maggies need for power.

PrimaLuna is a awesome value as well.