I don’t think colleges are randomly sending their deposited student lists around and not sure how school A would even know you applied to school B. I am not encouraging any underhanded activity but I don’t think any school knows what other schools kids applied to let alone were accepted at unless they are told. There is no “master list” of the thousands and thousands of kids that deposit that is sent around to every college in the country to compare notes.
If this school is really dragging out the information until after May 1st they should have no problem giving a written statement securing the students spot. You have 2 choices. Accept and deposit the offer of school A without the FA info if you want to/can afford to attend regardless of the $ and just wait to see what they give you but go either way. Or you ask for the written extension and deposit to the other school…school B is not going to give you an extension so you can go to another school if the offer is better, that ain’t gonna happen at school B but you assume the risk losing the deposit if the first school makes you a better deal you want to take.
Regardless of the newness of the program there is no reason they can’t give you an answer before May 1st. it is odd.
As a side note, I would not name these schools on a public forum since there might just be someone else who does want one of these schools and didn’t get the ‘admit’ or is waitlisted and in that case would be more than happy to report you and or the situation of a double deposit to each school…that is the only way I can see either school would know and might look into it.