I took a look at my notes last night from a couple of schools where my 2018 had offers. They are in the same conference and I made sure I talked to admissions and the school compliance guy to confirm how it worked. For the purpose of this, let's assume both offers were 50% (the offers were not actually the same). Both schools are members of the Western Undergrad Exchange, which means as long as you graduate from a school in one of the designated Western states, you pay 150% of in-state tuition at any member school (with some relaxed academic requirements). Here are the numbers:
School A School B
Resident: $6,870 $10,872
Non-Resident $17,729 $32,904
WUE tuition: $10,305 $16,308
R&B: $9,962 $13,898
Books $1,860 $1,280
They figure the cost at 50% of each at the non-resident rate. So, for school A, the 50% baseball scholarship is: $8,879.50 + $4,981 + $930 = $14,790
For school B: $16452 + $8,154 + $640 = $25,256
The total before scholarship non-resident cost for school A (not counting "other expenses) is
$29,551
For School B: $48, 173
Now, subtract your scholarship and
School A: $29,551 - $14,790 = $14,761
School B: $48,173 - $25,256 = $22,917
However, they now throw back the difference between non-resident and WUE tuition as a waiver, so, final numbers for out-of-pocket costs:
School A: $14,761 - $7,424 = $7,337
School B: $22,917 - $16,596 = $6,321
So, even though school B is the far more expensive school for non-residents, the fact that their out-of-state tuition is so high - or more precisely - so much higher than their resident tuition works largely in your favor. After a Pell Grant, for many families, this 50% athletic scholarship comes very close to a full ride. If you start talking scholarships above 50%, you can very quickly get into a situation that equals a full ride including the "other expense category.
Schools have their 11.7 guideline, but each staff also has a budget to work with, so you can see for many schools how much incentive state schools have to stay with in-state talent or to only venture out to places where they can apply tuition waivers or non-resident tuition programs that are specific to certain state residents. Arkansas is a great example. They have reciprocal agreements with other states. If you live in a border state or Illinois, you will only pay 110% of in-state tuition as long as you can come in with the required numbers (3.3 and 24 ACT and you pay 130% of resident, 3.5 and 28 is 120% and 3.7 and 30 is 110%). Understandably almost all of their recruits come from those states. If they want a kid from California, the same athletic scholarship % is going to mean a lot more money out of their budget. This is something I didn't pay enough attention to early in the process. Understanding by academic numbers and geography what schools will find you more attractive as a recruit is a larger factor than many take into account.