Is there an existing solution in the court system when you're forced to pay the other side's attorneys' fees, to make sure those fees are reasonable?

My uninformed suggestion is to set a statutory rate for contract review, allowing the legislature to revise it every few years, and perhaps tying it to some other government budget or salary in some way (e.g., some multiple of the effective hourly rate of government attorneys or clerks, or some fraction of the government's maximum allowed rate on their own contract review).