"Good tube Integrated Amps"

I have a Mastersound 845 which is a wonderful SET design.  It may be just above your price range but they also have a number of cheaper units in there range

The Due Trenta SE retails for just over 3 thousand pounds (English) which I think is round about 4 thousand dollars

http://jordanacoustics.co.uk/products/amplifiers/due-trenta-se-rc/

They also have another 2 integrated a couple of thousand quid cheaper

http://jordanacoustics.co.uk/products/amplifiers/due-venti-se/

http://jordanacoustics.co.uk/products/amplifiers/dueundici-rc/

I'm from the UK so the above links are for the UK importer, I would imagine Mastersound have a US importer

Mastersounds web site is

http://www.mastersoundsas.it/

Beautiful Italian styling combined with sublime sounds = happy listener

Cheers

Mark