Not quite the same thing but I started, in partnership with knowledgeable and motivated others (trust me, those are very, very important) a games store that mostly does board games, that also serves coffee. We have a games library and charge a flat fee for the full day, we also have a table fee for playing your own games which attracts a few RPGs. We've been told by people many times, mostly tourists, that there are bars that do board games, usually the traditional ones like Monopoly, Scrabble and Risk, but between the two I think you can take it that as a business model it's an idea that can work.
That being said the year has been extremely challenging, both in terms of growing the business, simply keeping our heads above water and minor trials and disasters that you just never see coming, or with hindsight realise they're pretty obvious. And don't get me started on some of the people issues.
While the games library is proving popular (it's good for play before you buy which has helped us out several times) it's slow going, but we do have some regular gaming groups coming in, and they do buy refreshments.
On the plus side it sounds like you've identified a need, or an opportunity, making plans and asking for advice. Those last two are important, take your time with them, and don't ever stop. Even in the last year I've gotten advice from knowledgeable people that have helped make a difference.
Keep in mind that regardless it will be stressful, will eat into your time, you'll never have enough money, especially in the beginning and there will always be costs, monetary and otherwise, with everything you do, and a few things you don't.
Sorry if this has turned into a bit of a rant, or TL;DR.
That's the challenge of owning and operating a business though, there's never a dull moment. Dammit.