In terms of the aid - let me give some insight as I have spoken to a few people on the "inside" of both the administration and athletics side of the house at UR on this topic. UR is indeed "need-blind" in terms of giving accepted students money so they only pay what they can afford. With that being said - it is extremely naive to think that for the REGULAR student, the finance don't play a part in the admission process. As noted above, and in any given year roughly 25-30% pay full price and the school needs kids to pay full price in order to help pay for the other kids who can't afford full price. I wouldn't go as far as their is a quota they need to hit in terms of full time paying students, but they keep it relatively close to the same number.
With that being said - sports who do not receive a full allotment of scholarships to fill out a team, like baseball, can try to use this to their advantage - but they have to be very strategic about it AND they have to get buy in from the administration to do it, in terms of getting kids accepted. Prime example - I know for a fact former football coach Dave Clawson used to use the "need-blind" giving mantra to his advantage when recruiting kids. If he saw a kid he liked and wanted to recruit - he may have the kid fill out all the paperwork to see how much the school would give in aide and then supplement that either with a partial scholarship or potential the kids family could afford the significantly discounted tuition. Therefore saving a scholarship or part of one to use on another kid. BUT the key is here - you have to get buy in from the admissions to admit some of these kids who likely would not make it on their own merit without athletics, and then beyond that - ask them to give them financial aid. Maybe the school is willing to do that for football, but maybe not baseball?
Baseball is allowed to offer 11.7 scholarships among 27 players. So not sure if coach is getting the support he needs from the administration - but there is ways around this. But I can also see it being a tough sell to some kids. You might be telling them they can come to UR and pay only $5K or $10K a year, which is relatively cheap - whereas they might be getting offered a full ride or close to it somewhere else with little to no tuition bill at the end of the day.