As I said, there's a lot of undeveloped land around the stadium, so walking probably isn't going to be your best bet. However, there are some places close by that are a short drive away. Now, admittedly, I'm not the best person to ask for places to get pre- or post-game drinks, so if you have any suggestions for that, feel free to speak up in the comments!
The Irish Wolfhound Pub
Probably my favorite restaurant on this list. Between my family and I, I'm pretty sure we've tried almost everything on the menu, and we haven't had anything we didn't think was delicious yet. And looking at the beer list, I see a couple familiar names that I know are popular around here. Yes, Jim, they do have Stella LOL. One thing to make a note of. If I recall correctly they don't allow anyone under the drinking age in after 10 pm, so it's not the best place to take the family after a night game.
Streets of New York
Luis Gonzales assures me this is the best place ever to get pizza, pasta, and subs.
On a more serious note, this local chain does have good pizza, plus drinks. The service is always friendly, if a little slow. Keep this in mind if you are planning on going before a game.
Babbo Italian Eatery
Another local chain. It comes on the recommendation of
kishi Devin.He assures me the food is good, and I believe him. Looking at their online menu, it looks like pretty standard Italian fair, but you can't go wrong with that! Happy Hour is 3:30 to 6:00, so it perfectly lines up with when your average day spring training game is going to get out. Give it a try, and let me know if I should give it a go too!
There are a few chains close to the ballpark as well. There's a Red Robin my family and I used to go to on a near weekly basis just down the street. There is also a Buffalo Wild Wings right next door. There's also Mc Donald's and Taco Bell near by... If you're desperate.
And that pretty much sums up the dining options in the area, as far as I am aware. Feel free to add any you think I missed in the comments! Thanks to
kishi Devin and my dad for both of their inputs on the list!