Unique Restaurants Recommendations for Dinner - 1st Choice not open on Tuesdays

My husband and I will be in Hamilton on the 23rd, as we wait for our flight the next day. The 23rd is actually his birthday so I wanted to take him somewhere unique with offerings we don't get on the East Coast. Our first choice Brother's Grimm ( which we were super excited for) sadly is not open Sunday- Tuesday. We liked the menu due to the wild game (elk, rabbit , boar etc), beer options and the atmosphere looked pretty cool. We have wild game on the East Coast but our "rabbit" is actually wild hare so it's different that ON.
I looked at a few of the top fine dining restaurants but a lot of them are similar to the fine dining here and many aren't open on Tuesdays. (Shakespeare & Quatrefoil). Are there any restaurants that are quintessentially a part of Hamilton or one with local food that you can recommend?