Don't use the RMGI911.
Stick with what works on your machine. Is your machine biased for that tape?
With all respect, there's two immediate problems with that suggestion. Firstly, you can't buy 456 anymore, and secondly, any Ampex 456 or 406 stock made prior to 1995 - when they changed brand to 'Quantegy' - is prone to sticky-shed syndrome and is liable to cause just the sort of transport problems he's experiencing, or worse.
(Also 911 is designed as a bias-compatible replacement for 456)
mbow, I'm not sure offhand why that's happening - usually it's the other way around (the Ampex causing the problems). Early RMGI SM911 stock had a problem with shedding but that seems to have been solved by now.
What are the tape guides like? Is there any residue on the transport, either from the Ampex or the 911?
One thing that does happen is that Ampex and Quantegy tape are cut narrower than spec as a workaround for the slitting problems Ampex had.
If the machine was used exclusively with Ampex and then switches to RMGI (or any another brand than Ampex/Quantegy!) it does happen that the wear path in the heads and guides is too narrow for the new tape. This usually manifests as shedding at the edges and is something that goes away in time.