Midshipmen can sign up for the “movement order” to go to away games. Your plebe will eventually be able to explain how that works.
I always recommend letting your plebe pick the best weekend to visit. They have to look at the duty schedule, what’s coming up academically the next week, how much academic work they think they might have on a given weekend, etc. In this case, they won’t really know that for first semester until PS is over and they are in their academic year companies. Whatever you do, let your travel plans be flexible, and if air travel is involved, book fully refundable tickets or the kind that can be re-scheduled without penalty. Plebe year is filled with unpredictable demands on their time. Your plebe will soon become savvy about telling you best times to visit.
Pro tip: On long holiday weekends, plebes have town liberty (can leave Yard) on both the Saturday and Sunday when there is a Monday holiday, and they don’t have other obligations. It’s not usually overnight, unless they have earned one somehow. On a regular weekend, they can only leave the Yard on Saturday.
Be fully prepared for your plebe to say incomprehensible things such as “I promised to stay on the Yard a couple of extra hours on Saturday and work with the other plebes in my company on our boards that are due on Sunday afternoon.” (Plebes must complete elaborate large bulletin board assignments in their companies, developing teamwork and prioritization skills.).
Arm yourself with flexibility and a good listening ear for what your plebe thinks will work best, and you can have an enjoyable visit that gives the plebe a much-needed break. Be open to tagalong friends too!