They already are. I believe most of her reelection fund came from outside of Wyoming.
That was true even when she had Limbaugh, Levin, and a bunch of gullible “Tea Party” groups believing she was the “true conservative” anti-establishment candidate. Most of her donations and funding at the time came from beltway insiders and Bush-Cheney administration alumni. By contrast, most of Mike Enzi’s donations and funding came from Wyoming citizens.