Rodgers wouldn't be picked to help win her state she would be picked because she's a women something the GOP ticket desperately needs against someone like Clinton. She's a conventional safe choice she's not Bachmann type crazy she's a Establishment mainstream pub who's acceptable nationwide.
Kelly Ayotte is too and she's at least a senator who could help in New Hampshire. As for women, they've also got Susana Martinez, Condi Rice, Nikki Haley, Kristi Noem (not qualified but no less so than CMR), Deb Fischer, and others, all of whom are at least as good of choices as McMorris Rodgers.
Kristi Noem has a huge collection of speeding tickets -- evidence of contempt for the people that the law is intended to protect. One was for 57 in a 25 zone (probably a school zone). Speeding at that level
kills.