Having lived in Illinois for 46 years before fleeing to the much more conservative friendly state of Alabama, sadly, the answer is no.
Even the republicans in Cook County are more liberal then blue dog democrats in Alabama. So that kinda makes the odds of gettting a real conservative out of the question- or at the very least a long shot.
You should hear some of the other potential names they are already throwing out there- including multiple members of Jesse Jackson’s family.
Congratulations on your move. People constantly make fun of Alabama (and other southern states, for that matter), but the people there saw Obama for what he was and overwhelming voted against him. They also consistently vote in decent U.S. senators.