• Delay it. Republicans can also vote to postpone cuts to the popular Medicare Advantage program, postpone mandates requiring that individuals and businesses purchase and provide health insurance, and delay imposition of the $500 billion in taxes required by the law. Mr. Obama wouldn’t likely sign such legislation, but the debate would shine a light on problems that haven’t received nearly enough attention.

• Disapprove regulations. The Congressional Review Act of 1996 (CRA) gives Congress the authority to overturn regulations issued by federal agencies if both houses approve, with a two-thirds majority needed to override a presidential veto. This would be difficult to pull off. But proposing a resolution of disapproval under the CRA gives Republicans a platform to express strong disagreement and bring attention to especially egregious rules.

The current congressional majority wants to gut the CRA, and the House passed a bill that would eliminate the requirement that federal agencies submit their rules to Congress before they can take effect. The Senate has not yet acted, but this measure should be on the Republicans’ watch list for the rest of the year.

• Direct oversight and investigation. Other aspects of ObamaCare are ripe for public hearings. For example, rules dictating how much insurance companies must spend on direct medical benefits are already hugely controversial—even before they have been issued. Businesses are also aghast at the narrow openings they have to protect their current health plans from onerous federal regulation. Republicans could summon many witnesses to testify about the impact of this regulatory straightjacket.