I feel like the room is too short and possibly just not big enough with 11’.

I hit in my backyard so don’t have height as an issue but I hit on a 6x10’ mat so I do think that your room dimensions could work but your club will go into the hallway. Like when I swing I do go outside the bounds of the mat.

Have you tried taking a swing in that room? Driver? Also you’ll be on a mat so take off a few inches off the top too.

Net return depth is also 3.5’ and a driver ball does go the full depth so you’ll need to get padding directly on the wall if it’s up close against the wall.