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

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.

The only real competition if you can stretch your budget is the least expensive accuphase of luxman integrated amplifiers but they would both be slightly more than 3000 but less than 4000.