If you already have another house, and you intend to sell one of them, your insurance co might have a scheme to cover the overlap, or will cover the other as a second home. They will want both homes to be lived in at least monthly, or the cover will be reduced for the unoccupied one.
A "monthly payment" scheme will normally be an annual policy where you pay by instalments, with interest and handling charges added on, so if you stop paying the instalments, you will just have an overdue account.