Hi! My DD did a summer internship at C5ISR at Fort Belvoir after her MS2 year. She said it was a great experience, she learned a lot, and was well paid (unlike one she did during her spring semester as an MS2. She interned with a handful of West Point students and a couple of ROTC students from other Battalions. She got to rub elbows with a three-star general and attended some get togethers while there too!
I don't know what your interests are (hers are in international politics/policy, specifically cybersecurity policy), but there are a ton of think tanks and government organizations that offer summer internships, and I wouldn't limit yourself to just what is offered through your Battalion. However, also check with your college/university...In addition to getting an internship that paid well for the summer in her area of interests, she also applied for and landed a Fellowship from her university that provides financial awards to students who are doing summer internships, to help defray of the costs of travel and living expenses.
Good luck and I hope you find a great internship!