Yes, that’s why I asked my question. The googles I found say that a convicted felon can run. It’s also true, though, that states have a great deal of say regarding who can and cannot appear on a ballot.
In a sane world, IMNSHO, a convicted felon who had served out hir term could run. And vote. Debt to society paid? Rejoin, please! But as you point out, we are not in a sane world.