There's no silver bullet to solve this problem. If there were, we would have already done it by now. The government will need to weigh the cost of subsidizing rural residences with that of other policies. The outlook for rural doesn't look great either way, many rural areas will not be able to afford the costs of climate change.
Sounds like a policy that won't pass muster then. Making things work for marginalized groups and rural areas is pretty top priority, unless significant and warranted backlash is to be expected.
The US isn't France and a set of transfers is a real solution. But I have no doubt that politicians will ignore the gravity of the situation to pander to their voter base. The huge cost of climate capture (likely 50% of our gdp) is probably a policy that won't pass the muster either. The fact is that it is far cheaper to reduce emissions today than try to capture emissions tomorrow.