From a quick search, the cost of attendance at WashU, Rice, and Brown is around $90K per year, compared to about $30K per year for UMD (in-state). That’s nearly $250K difference for four years, not counting travel costs for you and your family.
I completely understand the pressure to choose an “elite” school, but if your goal is medical school, UMD is great choice. And If you can get into one of the Honors programs, especially ILS, you will get a challenging but very supportive system to help you achieve your goal.
My daughter graduated from UMD and is currently applying to med schools. She had to balance tough classes, extracurriculars, and MCAT prep, but UMD provided her excellent opportunities and supports. And through ILS, she built close friendships with other students on the same premed journey. They helped each other stay motivated, had fun together at games or hangouts, volunteered in D.C, etc. She graduated a semester early and was able to find a MA job locally though her ILS connection, while preparing to apply this cycle. In the end, UMD gave her everything she needed to be successful , and saved her (and us) a lot of unnecessary debt.