"Good tube Integrated Amps"

I'll second wolf_garcia's and other's comments about the Maryland-based Jolida.  Had a Jolida 502B for a decade.  My intro to tubes.  Good value for the money.  The factory upgrade for it was another high value bargain.  It responded readily to tube rolling.  It's well within your budget.  I liked the fact that biasing was manual (and easy to do, I might add).  Only reason I stopped using it was I needed more power for some lower efficiency speakers. Good luck in your search.  

I listened to a couple Primaluna integrateds and was searching for a used one and came across a Manley Labs Stingray II. I preferred the sound and ended up buying it about a month ago. So far I am very pleased with the sound - rich, warm with some nice low end punch. As a bonus, the American made amp features a unique industrial design that is pretty showstopping. All my friends, even those who don't give a hoot about stereo gear, have commented on it. 

Bottom line, there are a lot of great options under your price point. You'll have fun discovering the options. Good luck!

I second the recommendation for the Rogue audio Cronus Magnum 2. Full function with remote and moving magnet phono stage great output and fantastic sound

Another shout out for the Manley Stingray II. I also have one; it's a keeper.

I’d add the Ayon Scorpio to your audition list.