We dispatch ourselves, do 95% 911 and just spent 5 million dollars building a fancy new dispatch center to dispatch our 75k calls a year. Blows the fire and LE dispatch centers here outta the water.
We spent all this money but we still are only radio and pagers, no MDTs although the last email they put out stated we were loving towards MDTs.
Most big systems will dispatch themselves if they're a private or hospital based entity. County or City third services are generally a part of their respective county or city's dispatch center.
Without knowing where you want to live, what you're looking for, what your goals are we can't really give you an answer.