I know STH at other teams who get to participate in a special event each season where the team opens the stadium and field for the STH account head and 1 guest. The teams typically hold a 4 hour long batting and fielding session that give the STH a few swings in the cage, and as much time as they want shagging fly balls and fielding grounders.
I know some do it only for full STH, others for half and full, and some others even include partial plans.
I've written the Nationals once each season asking to institute this policy, but I think they need far more people to make the suggestion to actually do it.
As a baseball player from my youthful days, and as one who has feelings of grandiosity in spite of my own obvious limitations (like strength, speed, talent, ability), this is something that appeals to me quite a bit. Is this something that you'd be interested in?
More so, if you don't have ST, is this something that might make you think about picking up a package?