What?! Get out! I know it's standards and stuff but a 1 inch difference is barely nothing. It sounds like it's all in your head man since the more dates you go on, the more experience you get and learn about yourself. How did that end up going?
Go with whatever feels comfortable but I would say to do coffee to start off then go to a park or walk around so you guys don't stay in the same place since it will get boring. I usually like to do parks but as it starts to get chillier, I'll suggest indoors stuff. Board game cafes are hit or miss in my experience unless it's popular stuff such as Connecticut Four, Sorry, and Uno. If she's big into board games, then there you go. Keep it cheap, light, and focus on conversation. I'm sure your neck of the woods must have a bunch of free events to do e.g. festivals. Anything but movies or museums where the focus is on visual stuff most of the time. With parks, you can sit at a bench side by side, get close, and talk.
The Dating-Age OP has a good TED talk on 10 tips to make one a better conversationalist by the way.
@Captainbojanglesiii, when I was 18, I was awkward as sin and scared of girls even when trying online dating websites back then and this was nearly 10 years ago. If my 18 year old self had the experience and knowledge that I have today, I would have been a completely different person. Definitely get involved with clubs/student organizations, attend college events, work on improving your interpersonal skills as Salamando pointed out.
If you want to jump into online dating, you can but given that you're probably a freshman in college, you're bound to make new friends and acquaintances through your program. Basically do stuff outside of your comfort zone and you'll get better over time. If it scares you, it means that it's a good thing to quote Seth Godin. I've ran into girls on online dating services but it wasn't a big deal as I wouldn't see what the problem is. Post-high school, people mind their own business as I'm sure you'll eventually outgrow the high school stuff.