Hi Leah - please come on over to our Nuke moms group and post your question there. We have lots of active nuke moms who can respond. (And yes, they usually fly out very early on Saturday morning but you can often go wait with them at the airport - so if you can book your flight later in the day you might be able to spend some extra time with him.)
Do not expect him to have much time at all. We were told repeatedly that because our son was going to an A School away from Great Lakes, that he would be flying out the day after graduation. What we weren't told is that by "the day after graduation", they meant they'd bus him to the airport at 0200 that morning. We found out when we brought him back to berthing after spending the day together after graduation. We met him at the airport, gave him his cell phone, and spent a little time there, but he was gone early that morning.We went back to our hotel, got a nap, and left about noon that day.