Power structure would probably need Thad to win then step down due to illness. That sets up a pro-immigration Senator of their choice. Section (2) of their law allows appointment until the seat is filled by election.
§ 23-15-855
What is Bryants stand on illegal immigration?
He would appoint Haley Barbour. Can you imagine Senator Barbour?
The election for a successor must take place in 90 days, or in the same year if there is a general election. That resignation/temporary appointment is pretty fancy tap-dancing for one additional vote, which probably wouldn’t even be ‘additional’.