I believe that's a 12" lathe. A BXA will fit but it might look a little big. It also gives you the option of upgrading later to a larger lathe up to 15". An AXA will work perfectly and will appear "appropriately sized" for the machine. Some folks like the option of using 5/8" tooling with the BXA holders. I don't think you're missing-out on too much at all and if it were my machine, I'd go with an AXA and use 1/2" tooling.
EDIT: If you get a BXA, you will not be able to use 5/8" tooling even though it fits in the holders. There will not be enough up/down travel to center a 5/8" tool on a 12" lathe.
Ray