"that HIS first priority is to play ball at the highest level possible. Of course he wants to do that in the strongest academic setting possible. But he’s pursuing his dream and I won’t discourage him from that."
Why is his first priority to play baseball at the highest level possible? And, what does that really mean? Is it measured by team performance; is it measured by his contribution? There is a huge difference. Is suiting up one year and being released before the next considered playing? You're from BR, you know what LSU fields every year - is he even close to any of the LSU pitchers who see the field?
Strongest academic setting possible? What does that mean? All due respect to LSU, but do you consider LSU (as a baseball player) to fit your criteria? If so, that's pretty weak tea.
He's pursuing his dream and you wont discourage him? Well, adults are supposed to bring wisdom and context to kid's dreams. First, regardless to league and division, if he's a late bloomer who suddenly displays pro potential, his college is irrelevant - he will be discovered. Second, for kids who aren't pro prospects, baseball is a tool used (just like great grades and scores) to leverage upwards into a college he otherwise couldn't reach. (And, I'll add that homeschooled kids have a more difficult time in the admissions area and baseball could really assist.)
You and he have every right to be proud of the velo jump; he moved from a fringe D3 prospect to a real D3 prospect. He moved from a kid hoping to see the mound to one who coaches expect to be on the mound.
Again, what are his baseball goals - besides wearing a uniform for a year? No P5 will take a pitcher, have that pitcher not really contribute, and keep that pitcher the following year. Those teams are always looking to upgrade all positions and WILL upgrade from a minimally contributing player.
With a 4.0 30 ACT kid, are you comfortable placing him in a situation which doesn't maximize his academic potential, which has a high probability of being one year which in turn means he needs to transfer or drop baseball?
There are lots of schools which put him on a path to maximize all his potential - athletically and intellectually. I'd aim for that subset.