The great John Farley wrote an interesting critique on here as to why the Hawk (and especially the wing) was not suitable for a 21st Century trainer. The proposed Advanced Hawk for India may have addressed some of those issues, but it’s a dead duck.
The T-7 might be an option, but has its own woes. The fact the M346 has its origins in a joint project with Russia back in the day shouldn’t count against it. It’s in-service and seems to be quite liked by it’s users.