There is a Pass Int-25 for sale here on AG. Probably could be had for under $5000.
For price point, I've always liked the Quick Silver stuff. Clear, with presence and able to transfer a lot of the dynamics and timbre of instruments and voice.
They only recently came out with an integrated below 2K and I would be intrigued to hear if it approaches the ability and verisimilitude of their separates.
If it does, it would be quite the catch.
As rbstehno said, the NHT 3.3's do not work well with all amps. I owned a pair for 7 years and experimented with a few different amps and eventually settled on separates. An Audio Research SP-10 and a Counterpoint NPS 400, both of which had tubes. It was the only way I could listen to the speakers for more than an hour at a time. The tweeter was way too hot otherwise. That was the combination that was demoed to me when I bought them. My Audible Illusions preamp and Aragon amplifier were close but ultimately I decided that I needed something a bit mellower sounding.
I would second Tomic601's recommendation of the Aesthetix Mimas which I currently own. I sold the 3.3's many years ago but since you like them the hybrid Mimas would be a great choice. Good Luck!