.... You already have the people that could do the job, but I suspect there's too much pork, and possibly outright corruption, bound up in all that money that goes into local voting systems, to do it without a lot of resistance even if it was done at a state instead of federal level.
It's not so much pork or corruption, but a desire for local control, based on a distrust of higher levels of government. Where I live, we vote for the Town and School District budgets every year. Our property taxes are based on those budgets, so they are very important to every property owner. We have election procedures which are efficient and transparent. We don't want the State (or, worse, the Federal Government) telling us how to run our elections.
When I first moved into my town, ballots were placed in boxes. When the polls closed, volunteers counted in pairs: one counting and the other verifying. We switched roles occasionally to stay alert. When the lally was finished the ballots went back into the box in case the totals were close and someone called for a recount. Today, we use a Scantron for the preliminary count, with the paper ballots retained inside the machine. The results are available on the Town web site the day after the election.
If we were to convert to an electronic system, perhaps the results could be available an hour after the polls close. That would please the national media, but we are afraid of losing the transparency that makes our system work. I have seen the loser shake the hand of the winner after the preliminary count was complete, and wish him well. Without confidence in the accuracy of the count, close races might lead to endless bickering.