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

Line Magnetic integrated amps are pretty hard to beat in that price segment

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.