The first major problem is distance. How far are the schools? But more than that, what's the traffic situation . I live in Los Angeles, Distance between UCLA and USC is 14 miles. On a normal day, drive time can be anywhere from 30 minutes to an hour or more. I think transportation is on you. Typically PT is done is done at the host school. That means you have to travel there for early in the morning. I would also assume the classes are there, so you are going to travel there during the day and deal with traffic.
Many people complain that they treat the cadets from the host college better than those who travel there. I would assume that is true of some but not all.
It can be done but it will be a pain. The closer the schools with the least amount of traffic, the better. The distance between your two schools is 14 miles so that isn't too bad. What is the traffic situation there