No, I don't think it will fit. I've tried to map 3x 54" diameter tables, and I can't even get 18" of space from around the rail for everybody without chairs bumping into each other.
You might have better with 3 capsule shaped tables, 72" long and 42" wide. Gives 24" of rail space (approx) to each player, and you can wiggle 3 into a 12x17 room as long as there's no other furniture in the room besides the chairs, except maybe a small side table or two. I wouldn't call it comfortable, necessarily.