There's no reason to need the "best of both worlds." People will doubt the validity of the electronic count anyway, you might as well skip that step and go straight to a hand count.

The more counts the better, let a machine count first to give quick results, but use multiple machines and software solutions, kept fully airgaped. Then count by hand.

A tiny horror story from the last Norwegian election was when some results were delayed due to problems with a scanner. The news story about that machine mentioned that the machine was connected to the internet (shudder), and ran Win XP (facepalm).

The internet should only be used for reporting preliminary numbers, and the counting machines should not be talking directly to the net at all.