The AvMA accredited schools all have federal lender numbers. So edinburgh, glasgow, and london in the UK, Utrecht in the netherlands (in dutch), Dublin in Ireland, Murdoch (perth), melbourne and sydney in Oz, and Massey in NZ are all federal loan (AVMA) approved.
Because Vet is a "professional" program, it's got the $20,500 (numbers?) limit on stafford sub/ unsub loans. Students are also eligible for gradPLUS loans and private loans. I think one or two of the schools might also have the special "health sciences" deal going on too, but I'm not 100% on that.
You often have to do more of the loan work yourself, though, like finding lenders, filling out actual for-real applications (not just the 2 page deally most undergrads do), and (depending on the school and their "loan person) ride the person responsible for sending paperwork from the school. At one point I had the international student loan lady at Massey on speed-dial, and would e-mail *and* drop by her office about once a week. I've heard stories (many) of int'l students not getting *any* loans until the middle of second semester. It's possible that this will become less of a problem as more loan-dependent US students go to the schools (and I don't think any of the horror stories came from UK schools, but I might have just missed them) and as more of them go screaming to their int'l student office for emergency loans.
None of which is designed to scare you away, just to make you aware. Sounds like a good plan you have, hope you can make it work🙂