My school is part of a hospital. Most of its programs are medical in nature. It is a fully accredited college that offers associate degrees (not nursing-rad tech, respiratory tech, Etc.), bachelors degrees (BSN, biology, liberal arts), and masters programs (MSN, CRNA, PA). When I graduate I'll have a BSN. You still have to take prereqs and apply like any other nursing school
. The school has been around since 1909 as a diploma program. Twenty years ago, it became an ASN program, and now a BSN program.
The only diploma program left in the state is part of the hospital I work at (not my school). You have to take prereqs at a local college/university and then apply. It's quite competitive and only accepts 30 students a year and has carried a 100% NCLEX pass rate for the past several years.
In a nearby city, a former diploma program is not hosted by a local community college. They still do all of there clinicals at the hospital that the school originated. Many of my instructors are from that city and went to that school and brag about those graduates "hitting the ground running."
My point of this post is that yes there are hospital -based training available. They may not be exactly what you think of when you say "hospital training." A lot of the diploma programs changed and moved in order to keep up with degree advancements.