1. Bordellos could be required to prominently display up-to-date notices of inspection. It would be perfectly legitimate to require such inspections, more frequent than is required for other industries, paid for by the business.
2. Nothing says you can't have both--you seem to be denying that some people might actively enjoy sex work, or might be good enough at it that they at least enjoy the income. And again, the tax revenues from legal prostitution could be used partly for programs geared at getting the ones who don't want to be there out.
(For instance, while it isn't quite sex work in that it doesn't have to involve getting naked or touching genitalia, a good dominatrix can make tons of cash, not so much from the fees she charges for the work itself but from the hush money she can charge to some of her clients who really, really, really don't want it to get out that they're going to a dominatrix--people like politicians and corporate executives.)
But this is a great look at horseshoe theory from the fundie Christian side, rather than the radfem side.