The calculation of property taxes by the locality can be complicated. For example, I believe that in New York State, the county property tax due January 1, and the school tax due in September, are both based on the property value on the previous July 1 (the valuation date is months before the billing date). If you continue to own the property (the land) but don't rebuild the house, or it takes more than a year to build the house, you may get a much lower tax bill next year, based on whenever the valuation date is in your locality. You would have to ask the assessors office in your locality for how that works.
In the mean time, you can deduct a loss on the value of the property only if the loss was due to a federal declared disaster (like a wildfire or hurricane) and only the amount that is not covered by insurance. Assuming your home is covered by insurance and you are rebuilding, you still owe property taxes on the property (the land, plus anything that is attached to the land). You have to ask your locality about adjustments or revaluations for things like fires.
