WASHINGTON — Republican or Democrat, the next president will have the chance to remake the nation’s health care overhaul without fighting Congress.

The law signed by President Barack Obama includes a waiver that, starting in 2017, would let states take federal dollars now invested in the overhaul and use them to redesign their own health care systems.

States could not repeal some things, such as the requirement that insurance companies cover people with health problems. But they could replace the law’s unpopular mandate that virtually everyone in the country has health insurance, provided the alternative worked reasonably well.