The fact that there are 162 regular season games in baseball means tickets are pretty cheap.
I know what you mean re the football stadium aspect though. You ideally need a large elevated section behind home plate and 1st + 3rd base, so if it was at the Olympic Stadium the sightlines would not be ideal. Would still love to go though, just to experience it.
A friend of mine has a season ticket for the St Louis Cardinals (a fairly decent team) and its $3000 and its in a decent area of the stadium - that is for 81 matches!
mentally cheap