Does the Rogue Cronus Magnum III have any real competition in its same price point of $3k?

Your requirement of new is holding  you back.  Also get the impression you must have US made?

At the threshold $3K this is pound for pound "better" than the Rogue CM
https://www.audiogon.com/listings/lisacahc-primaluna-dialogue-premium-hp-integrated-tube
More  versatile, more features, nicer build, better remote and plenty of postive reviews from users and the mags.

There was another unit for LESS just this morning. I'd inquire if the seller will INCLUDE shipping for $3K

thanks to this post i was able to figure out why my new KT77s won' bias... thanks shtinkydog :)