We wandered around the park later in the game and decided to check out The Draft Room.
It's located in Right Field, on the 2nd level. Easy to find and access - all you need is a game ticket (which nobody checks once you are obviously already in the stadium).
It's a decent view - something worth checking out for a half inning or so. But if you aren't there early, there won't be any good seats facing the field.
The beer selection is better than really anywhere else in the park, focusing on a lot of local selections. The service was pretty slow and not really friendly. We looked at the menu and nothing looked good, so we didn't eat.
The decor desperately needs updated. It really looks like they just renamed it and updated the beer list - the carpet is old and dingy and the all wood decor is just old and tired. This place has a ton of potential and after a facelift it would be a great spot.