best inexpensive tube integrated

If you don't know tubes, I'm against vintage for you. Too much tweaking and maintenance. You easily can find a Jolida in that range. All you need is 8 watts per channel with Klipsch. 40 watts will make them scream. Another solution is a pre and power combo with the pre being tubed? I know of an AR SP2C and PSE studio IV (class A) that you could get in your price range?

You may want to consider another approach. I have a Sophia Electric KT and picked up a KingRex T20 and Power unit as a back up. Can be had new for under $600 new. Audiomagus is great to deal with and I think they offer a 30 home trial.
Just a thought. Great review on 6moons. To my ears it sounds pretty amajing.
Art

Consonance Ella

I would look for something:
newish but used
that self-biases so you won't have to mess with the tubes
that uses KT-88 output tubes with Klipsch

I've done the EL34 & EL84 route and I think the Heresy is a little bass-shy so the KT-88 would be my first choice for more robust bass.
For $700 you might want to even consider looking at a cheaper integrated that might use 34's or 84's and think about adding a small $300 sub into the mix. Just be sure the integrated has either a sub out or 2 outs.

Visit upscaleaudio.com and look under the demo and used items. Sometimes there are some great deals there on primaluna and others that were acquired in trades, etc.