Hello. I never tryed an epiphone or gibson with junior type hard tail, without bridge. I know that you cannot setup intonation. Can you setup string height? Is this a good hardware or is the obe with bridge better?
You could also replace it with an aftermarket wraparound TOM that has individually adjustable saddles for intonation.

As for string height, the saddles will likely be set at a specific radius, but it can be raised/lowered as a unit. Generally speaking, if it's had good fretwork, this will be less of an issue.