Best under floor heating system

Hi all,

I'm brainstorming a remodel at a relatives 100 year old building and hoping to get some ideas for heating the first floor. The building was originally a storefront on the first floor and apartment on the second floor, heated with hot water radiators which have been removed from the first floor because it is no longer commonly in use. Now it has a gas stove that is turned on when the area is in use or when the temperatures drop very low to keep the place from becoming frigid and the pipes from freezing (we live in Minnesota). The first floor is approximately 1200 square feet, and the floors are very thick old hardwood that have some major grooves worn into it (half an inch or more) in certain areas due to heavy use over the decades. Also, the ceilings are probably 12' high or higher, which makes heating even more challenging.

Given all of these factors, I'm wondering if an under floor heating system would be a good option, and if so, what have you found to be the best solutions on the market? The electric coil heaters I've seen on sale at Home Depot, etc., look interesting but I'm curious how well they function below different surfaces (carpet, tile, laminate, etc) and whether or not they heat economically compared to forced air, radiators, underfloor radiant water pipes, and so on. I'd like to find something that I can install myself which would be an option that plays to the unique setup of this building.

Does electric underfloor heating sound like a good option for this scenario, or do you think other heating systems make more sense?

Thanks!