I’m looking for an sleek integrated amp under $15k

I have a Lyngdorf Processor. Absolutely love it. Sounds incredible with great workmanship. My votes for them. Good Luck and Happy Hunting  

I have never heard an integrated amp over 5K and probably never will. Based on reviews, I'd want to hear a Simaudio model for sure. 

I would never look for one with a phono input but a separate phono preamp.

How about this Aavik Acoustic U-300 listed here?

https://www.audiogon.com/listings/lisb7hh8-aavik-acoustics-u-300-solid-state

What about a Gryphon Diablo 300 with phono module. You’ll probably have enough left over for a decent DAC/Streamer. 

Mola Mola Kula is 15.8k without a DAC and 8k more with a real Tambaqui Dac

destroys all Hegel

destroys Naim that is more midfi

destroys Gryphon

destroys midfi hifi rose

Aavik integrated also good I would demo that as well and see what has better synergy.

destroys anything else under 35-50k

to beat it you need a 41k DartZeal integraded