Jimcat, the answer to your question is: they'll all hire felons
. Regardless of what their "rules" are, if they need drivers badly enough, they'll hire almost anybody.
The problem (for you) at the moment is that none
of them are hurting for drivers. You face a very steep climb because of that.
As for your "everyone has committed a felony or two," theory... you can certainly throw me on that pile.