Do you still have Joseph Audio Perspective speakers? Read the stereophile review where the reviewer makes a few comments that can help you as a general direction for selecting the new integrated.
To him the speakers worked best with Pass XA60.5 amps and were unforgiving when it came to less than perfect recordings.
The Pass Labs XA60.5 are warm sounding Class A amps. I’ve owned Pass electronics and the house sound is warm and luscious even with their Class A/B amps. One of the advantages of Pass amps is they make less than perfect recordings sound very tolerable.
So I would probably focus on rooms at shows that feature Joseph Audio speakers as well as rooms featuring Pass Labs electronics. See if you can find anyone running a Boulder 866 integrated as well. I find the 866 very similar in sound to Pass so with those speakers looking for integrated I would focus on Pass Int250 and Boulder 866.