Brett,
I graduated from the Penn State PGM program in 2003. Although I left the business in 2006, I continue to carry lessons learned during my internships.
You generally will hear one of two thoughts about internships:
1) Go where you'll learn the most. After all, the PGM bookwork is a time waster compared to what you'll learn hands on at a facility.
2) Put the best possibly facility name on your resume.
If you can, find the best combination of those two angles. I'll offer you some advice based on my experiences:
1) Make sure that the head professional is committed to developing Interns, and not simply using them as extra hands during the months which you are there.
2) Use your first and possibly second internships to work in the outside operations of a club/course. With that in mind, find a place (possibly resort), which does this stuff like clockwork. You'll really learn a lot, and may even be given managerial responsibilities if you prove yourself.
3) The majority of clubs that take interns are aware that the commitment is from the end of classes in the spring through until classes begin in the fall. Don't try to take extra days before and after - I only ever took 2 days between school and internship.
4) Make your self the star employee while you are there. Work harder than everyone else, always be looking for and/or asking for work, and learn everything you can about why a head professional and facility do things the way they do. You most likely will be required to work between 35-40 hours a week. That's really not that much. Use some of your down time to assist with small projects, or to sit in and learn about everything that you possibly can.
5) At the end of the day, it comes down to contacts and references. If you work at your local high school golf course, the chances are your network will hardly grow. If you work for Bob Ford, and do a great job, your network will expand exponentially.
I hope that helps. Basically, get to a great club, course, resort, where you are a vital part of the operation and can learn a lot. Work your rear off so that you get the recommendation for your next internship, and then repeat the process the following summer. And don't be afraid to go away from home, if you are not one of those guys who gets home sick.
Btw, Kyle is correct about Bethpage. The disconnect of the pro shop and the operations of the courses basically means that one has little opportunity to be involved outside of selling merchandise.
And not to forget, your first internship isn't the place to plant your feet with a certain management company. Wait until your 3rd or 4th internship to do so, if that is your wish. And your program needs to loosen the strings on you guys to reach out for jobs. That's a lot for one PGM office to take on. They should be there to support you, not take over your duties. Also, get cracking on getting resumes sent out. Most clubs will fill their spots by early March.
Lastly. if you need any advice, shoot me a PM. I don't have many contacts left, but can see what I can do if you have particular places in mind. Btw, my internships were, in order, Inverness Club, Whistling Straits, TPC Jasna Polana, TPC Jasna Polana. Of the bunch, I would highly recommend Whistling Straits. It is an absolutely top notch facility and great learning environment.