You cannot have two deposits in on May 1 - it would be ground for the acceptance being rescinded at both schools.
From other posts you seem to be trying to get in-state rates although you are non-citizen (green card holder) living abroad with no residence in the US and not paying any state taxes… That won’t happen. So if you are planning to send in different deposits hoping to get in-state tuition somewhere it would be a waste of time and you could be setting your child up to have both acceptances rescinded.
http://talk.qa.collegeconfidential.com/university-maryland-college-park/1983270-how-to-get-in-state-tuition.html#latest
Quite frankly you need to play by the same rules as everyone else. You are not an exception.