Amazon has a show called Alpha House based on Congress. Several powerful players share a home because of expense.
There is a way to deal with expenses. Share a place. Rent a small apartment.
Give up some of the benefits (like be put on the same healthcare as the rest of us) and maybe they could get a housing allowance.
.He and his wife are Mormons so we know then where a lot of their money does go....however ...Some think he’s prepping for a run for governor in 2020 against Mitt Romneys son. So if that’s true then he’d want some distance from Congress for awhile I would think. At any rate his gig at Fox would still keep him in the public eye.