Best integrated tube amplifier, under $3,000.00. No phono needed. Could be used, too.d

All interesting suggestions.  One I like a lot is a Coincident Turbo 845 SET integrated.  Obviously 845 power tubes, with 300B’s providing 28 class A SET watts, but more importantly 500+ Jules so it has gobs of reserve power for loud transients.  Used price $3k-$4k.

I have a Primaluna Dialogue HP, paired with Revel F208.  It is a great match, the system sounds fantastic.  You could get a similar result with the Primaluna dialogue for under $3k used.  In fact, being slightly lower in power may give it a bit more finesse.

This is easily comparable to other suggestions, and almost HALF your budget.
https://www.audiogon.com/listings/lis9j038-primaluna-dialogue-1-tube


Plenty for what you describe as use. It will drive your speakers, and worry free. You don't need a 50-100 watt spec on paper, if you think it won't drive your speakers.
Go to the webpage for any questions about it.

Been using PL products over 10 years.Ignore the import bashers

Quicksilver. Hand made in USA and sounds excellent. 

Without question... the Line Magnetic integrated amps... will amaze you.  Just incredible resolution of detail, clarity, and 3d soundstage.  Those mentioned above are as good as it gets!