So the last rod and reel setup goes as follows:
United Composite Elite RCE700 XXH (50-80lbs)
LX 6/3 Raptor 60# braided backing 50# mono.

What should be my next set up? A 60# or 80#?
Reel and rod will likely be a Avet HX Raptor and
United Composite RCP70XH-C (50-100#)?

I've got little to add on this one. I'll be more than happy to fish your gear sir.

I'm not sure you need a 50# outfit and a 60# outfit. Without knowing any specific details as to the fish you are targeting, I think I'd opt for a 80# to go with your 50#.