Those bottlenecks can be great hunting.
My advice would be a couple things:
1. I wouldn't go too crazy in there trimming stuff. The deer obviously like traveling through there because they feel safe if you trim too much of the cover they might not like using it as much. I'd try to find a likely spot on the edge of the thicker stuff to ambush them. I know sometimes with small areas it can be hard to find that "ideal spot" but if you alter what's there too much the deer might not find it an "ideal spot" to be anymore.
2. If I were hunting it and got busted, I'd lay off hunting it for a little while. It only takes one mature deer, especially a doe to bust you and then they won't use the area for awhile in my experience. Educated deer get real hard to kill in my opinion.
There are a lot of great hunters here (much more knowledgeable than myself) and hopefully they many will chime in with advice for you and we can all learn a little something.
Best of luck and keep us posted on your bottleneck.