best integrated amp.

Well the title of your thread is best integrated amp. I'll say the best I've heard is my VAC 160iSE, but maybe a bit out of your price range. A VAC 160i may not be though. However, I don't think the VAC would be the best to drive your Maggies though.

There is a used Boulder 865 for sale right now in your price range that should do the trick. You may also be able to find a used Vitus RI-100.
If looking new, check out a Wells Audio Majestic, very good bang for the buck. You might also find a new BAT VK-3000SE within your budget.

Happy hunting!

I recently heard Wells Audio Majestic at AXPONA and it is excellent.

I would look at Luxman or VAC used especially if you want a phono pre included.

Ayre makes a couple of excellent ones

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.