Personally I only use a RedDot on 12ga Slugguns, Muzzleloaders, SKS, and pistols. Doesn't mean they won't work on anything else by any means, just that some calibers lend themselves to a fixed or variable scope with crosshairs.
How about a fixed 4X ?
These can usually be among the shortest/lightest/toughest scopes out there.
The over hang is only cosmetic and doesn't affect acuracy.
-Aaron