What won't work is something like "it'll be better for the economy in the entire country, so put up with some disruption for a while." No one likes higher electricity bills while a power plant is being constructed, a new building going up too close to their homes that doesn't create jobs they can apply for, etc. It's a losing message to promise the payoff only years later or indirectly.
1. The taxes can offset the federal cuts so local taxes do not need to be raised. Requires the local gov't officials signing onto the deal in this way, which seems more likely given the massive pushback nation wide.
2. The data centers should be forced to build the energy generation they require. Excess (during off peak) can be fed back into the local grid and lower prices. It's quite likely the energy deficit will be the primary limiting factor to build out. We can also force the data center to pay premium prices, this is within the capability of regulations.