My fiance and I really enjoy going to these games! We're big baseball fans and the 51's are top notch when it comes to Triple A baseball. They currently lead their division this season and they made the playoffs last year as well. I imagine that managers at this level have it very easy when their better players get picked off for the majors.
It's tough to get out to these games during the summer but you can usually find a seat that's open in the covered area... I would never suggest taking someones seat though!! Maybe wait a couple innings before inching your way into these seats.
Also, I can't imagine it would be the cheapest thing for a family to do on a regular basis. Parking, tickets, and concessions can add up pretty quick but for just the two of us it isn't a bad deal.