A quartet of House Republicans eyeing Senate runs were among the 66 Republicans who voted against the bipartisan compromise to increase the debt limit. GOP Reps. Todd Akin (Mo.), Jason ChaffetzJason ChaffetzSecret Service agents set for discipline after fence-jumping incident: report Overnight Cybersecurity: House Intel chair says surveillance collected on Trump transition team House Oversight grills law enforcement on facial recognition tech MORE (Utah), Denny Rehberg (Mont.) and Jeff FlakeJeff FlakeOvernight Regulation: Senate moves to strike Obama-era internet privacy rules Overnight Tech: Senate votes to eliminate Obama internet privacy rules | FCC chief wants to stay out of 'political debate' on fake news | Wikileaks reveals new CIA docs Senate votes to block internet privacy regulations MORE (Ariz.) all broke with their party's leadership and opposed the agreement.

Akin is in a contested primary against former Missouri State Treasurer Sarah Steelman, with businessman and longtime Akin donor John Brunner seriously looking into joining the race. Steelman came out in support of an earlier Republican bill that included a balanced-budget amendment. The eventual Republican nominee will face off against Sen. Claire McCaskillClaire McCaskillUnder pressure, Dems hold back Gorsuch support Overnight Defense: General warns State Department cuts would hurt military | Bergdahl lawyers appeal Trump motion | Senators demand action after nude photo scandal The Hill’s Whip List: Where Dems stand on Trump’s Supreme Court nominee MORE (D-Mo.), who said Monday that while the bill was not perfect, she was "ecstatic about compromise" and that House members would have to "lose their minds" to not pass the bill.

Chaffetz is considering a challenge of longtime Republican Sen. Orrin HatchOrrin HatchOvernight Finance: US preps cases linking North Korea to Fed heist | GOP chair says Dodd-Frank a 2017 priority | Chamber pushes lawmakers on Trump's trade pick | Labor nominee faces Senate US Chamber urges quick vote on USTR nominee Lighthizer Live coverage: Day three of Supreme Court nominee hearing MORE (Utah), who has said he is unlikely to vote for the deal in the Senate Tuesday. He has been trying to shore up his conservative bona fides since it became clear he could face a challenge from the right, although Chris Chocola, president of the conservative Club for Growth, indicated to The Hill Monday that Hatch's recent votes won't stop the deep-pocketed group from targeting him.

Rehberg is running against Sen. John Tester (D-Mont.), and Flake is running for the Arizona Senate seat that will be vacated by retiring Sen. John Kyl (R).

Chaffetz and Akin are dependent on their state's Tea Party adherents to win their primaries. Flake is unlikely to face a serious primary, but has taken some centrist stances on immigration that have angered some of the state's conservatives.

Rehberg will likely have a clean shot at Tester in the Republican-leaning state. He said he could not support the plan because it did not include a balanced-budget amendment.