I am currently working on my BSME and Physics Degree at VCU. The program really isn't that bad. I feel like you will learn alot at VCU and it seems like out of all the schools that offer it, they seem to be the best. The program started in the 90's so it still can use some work but we do alot of technical stuff. You only need one thermo course because the other is the more detailed statistical based thermo class but you can do "technical electives" if you want more in depth knowledge in thermo. I think your calc class should transfer cause we just have general calc I believe.

You end up taking Mechanical Systems Design, CAE Design, Thermal Systems Design, plus your two Senior Design courses. So you will learn how to calculate and design

Your best bet is to take a trip to the schools and see what they offer. I know most of the students that graduate get jobs with Boeing and the other engineering companies around Richmond. Virginia kind of sucks in the engineering department. We have Lockheed, Northrup, NASA, etc but it seems like other states have alot more. So hope this helps a little.