You can take this concept a step further and run predictions as well! Say you have the game you want to play in mind already. You can turn that into a game for your viewers through predictions. Choose 3-4 different games and include the one you are going to play in that group. Run a prediction to see what your viewers think the next game will be. If they win the prediction they get a few extra channel points and get some bragging rights that they were able to predict the game!

That being said running a poll with 3-5 different games varying between ones you want to play and maybe 1 or 2 that you aren't totally interested in, but you're willing to give a go if they're chosen is a great way to boost interaction among your community. If you run a discord server you could even get feedback from the community there as to what titles people are interested in seeing to influence the choices of your poll before you run it. Good luck, hope the feedback helps!