Given that a short circuit if some sort is the cause, the next step is to locate it and repair the wire(s) or connection point(s).
You wrote:
"switched relays with living room slide still blowing fuses,
motor isn't getting hot,
can run it 3 or 4 times before [fuse] blows"
You know it is in the bed room slide circuit, not the relay/fuse.
You have evidence that it may not be the motor. (Can't rule it out unless all of the wiring & connections are sound, then...).
You have evidence that it is intermittent, but related to the movement of the slide.
I'd look for pinched wiring, or connections that are worn or frayed. It seems that on some occasions the wiring keeps the circuit working as intended (insulated from "ground") and sometimes not.
Then again it may be a case like the Red Headed League.
(Case Book of Sherlock Holmes)