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

One integrated, one not: 

Quicksilver Mid-Mono amps -- $2k
Quicksilver Line Stage -- $1.5k
So, a bit more, but would be well made and sound good.

Erhard's Basie Integrated is $2495 https://www.erhard-audio.com/Basie.html

no.  i owned a cm ii for almost 3 years and all it did was sound transparent, smooth, refined, dynamic, throw a huge sound stage,  and have some ballz. 
paired with harbeth c7es3 it smoked some much more expensive competition and made for a world class combo.  

100wpc tube integrated amp with phonostage. Can use various KT tubes. Great company support. Made in USA. 3K.  Can't think of any at the moment.

Raven Audio Nighthawk

OP asked for competition. Which probably means a fair fight, not a knockout.