I think that dodgers could be an interesting addition to tanks, but Armor Class seems like a touchy subject.
Maybe "Dodging" should be limited in a similar way to Sneak.
AC perks should simply not work with metal, tesla, combat and power armors.
Keeping in mind that the removed level cap results in maxed weapon skills and that it requires skill to keep an effective balance between attacking and moving to avoid attacks, I think it's fair to boost AC quite a bit.
The AC cap should probably be raised to about 200, meaning that all AC perks should get a little boost.
As a dodger can easily be 1-hitted when caught off guard I think it would be fair to make this build high risk / high gain.