well the ADA thing is the justification given for this; it was passed in 1990
So there should have been plenty of time to get set up. And if they knew they had a problem, why wait until now? It's not like there are not solutions available
https://101mobility.com/products/for-outdoors/wheelchair-ramps-for-outdoors/
even for rental
http://www.amramp.com/rent-or-buy
so it looks like they have shot themselves in the foot, and it looks bad.
the local board of elections has a generic info page
http://www.randolphcountyga.com/board-of-elections-and-registration
but their annual revenue seems to run a couple hundred million dollars.
https://i.imgur.com/5Rt9UGA.jpg
so they should be able to find sufficient funds to cover the basic government function elections
looks like they don't have a public budget page (Do not confuse with Randolph County NC!)
more info local coverage
Asked why he thought this proposal came in the midst of the election season, Jenkins responded, “That’s the million-dollar question."
I think you need to look at how many people these centers are serving and the ability to staff them. If only a hundred people are using the center over a 12 hour voting day it seems reasonable to condense the center with another.
The ADA thing seems scetchy.