It's basically Nikki Haley vs Trump at this point. New Hampshire may be Haley's best bet when it comes to beating Trump in any one state at this point. Polls had shown Trump being anywhere between 10-20 points ahead, although that was before desantis dropped out. If she can win there it'll help her in other states down the line as people will see her as a more viable primary candidate.

If Haley can't build up some momentum and win a few states, it may not matter if Trump is disqualified from being on a few state ballots. He wouldn't need them to win the primary and most of those states are almost certainly going to Biden either way, so it wouldn't have much impact on the general.