A construction coalition is running radio ads in 16 congressional districts.
The DOT said drivers have racked up 1.54 trillion miles between January and June.
The measure would increase the gas tax by 16 cents over the next four years.
Lawmakers have one week to renew federal road funding.
The group objects to both the measure's size and price tag of the roads bill.
Reid said he has questions about some of the bill's proposed payment methods.
The deal is "bad policy that contributes to a tax-and-spend agenda," the group said.
Senators are considering tapping the Strategic Petroleum Reserve to raise money for roads.
The state is the latest to consider raising its own taxes as federal road funding dries up.
Rep. John Delaney said taxing overseas corporate profits would be a better road funding source.
The minority leader said lawmakers should have passed a long-term transportation bill.
The measure would extend federal road spending until December.
The state is considering a 12-cent increase in fuel taxes to help pay for roads.
The state is the latest to look to increase it own taxes to pay for roads.
The state is the latest to increase its own road fees as Congress punts on federal spending.
Republicans should increase the gas tax to pay for roads, they said.
GOP leaders are scrambling to meet a July 31 deadline for new highway funding.
The group said truckers should support tolling instead of a gas tax hike.
The drive for a new highway bill is scheduled to begin with a procedural vote Tuesday.
The groups want Congress to reverse a 2012 decision to cut funding for buses.
The LIUNA union is pressing for a longer round of road spending.
Approaches proposed by both the House and Senate have drawn criticism.
The House passed an $8 billion extension that lasts until December.
Rep. Earl Blumenauer said lawmakers should be focused on increasing the gas tax.