Greenbay
If your Triumph is like the other Triumphs that have been discussed you probably have a very tight bore. And with that tight bore I doubt that you will be able to to get a HPH-24 down without a struggle - with either a .452 or a .451 bullet.
You might try some HPH-3p-Ez sabots but more than likely you will end up using Harvester's "crush rib".
You might call MMP directly and ask Connie if she would send you a few 3p's and HPH-24's to try. They are usually very accomodating.Plus pick up some Harvester "crush ribs" and see which one works best for you.
I shoot an Omega and I am able to HPH-24's so there is an outside chance that it might work in your Triumph, but from what I have read - don't think so.