I, also, have worked in a small, rural hospital where people meant well and tried to do the right thing, but just plain
didn't know a lot of the newer stuff. People there were v. appreciative of assistance and inservices to be able to do a better job for people in their community ... Perhaps your center could reach out in some way to the smaller, referral institutions with which you work -- invite them for tour/inservice programs (with lunch, of course!!

) at your facility, offer presentations at their facilities, etc. Work to establish an ongoing relationship and the idea that "we're all on the same team." I know that the big burn center in my state does a LOT of outreach and education around the state. If money is an issue, perhaps there is state grant money available -- it would be easy to make the case that an effort like that would benefit all the citizens of the state.
I'm v. sure that those other folks
want to do the best thing for people, and would be happy for any assistance in that direction.