The bill will allow guns in schools, churches, and government buildings.
Though a current bill is stalled in the House, some in the GOP are still pushing reform.
Top Republicans want to know how HHS administers the Low Income Energy Assistance Program.
Bill would amount to the government usurping the role of the states, said states group.
The House voted Tuesday afternoon to stop the Obama administration's effort to re-write coal mining regulations, and require the administration to use a rule developed under the Bush administration.
Members of the Republican Study Committee (RSC) on Wednesday will introduce a broad job creation bill that encourages domestic energy exploration, eases federal regulations, and includes other policy prescriptions that Republicans see as an answer to weak job growth.
The bill would limit presidential land protections, subject them to environmental review and require consent from landowners.
A new House bill targets drivers under the influence of marijuana.
The House voted 229-183 to override the proposed EPA rule.