There is another possibility, if you're so inclined:
The dome-like structure on which the bridge sits could be stretched upward, so that the aft hull would blend into this sub-dome, and then the bridge would sit on top of that.
Here's another idea, unrelated: the NCC banner should run across the front slope of the sub-dome. The ship name would span the flat bench around the base of the bridge. That's just an aesthetic suggestion.