Easy Kevin, tear it out.

I hate when they do that, I HATE when they do that.
Not many options gut it or try to dry it. I'm sure you can dry it but how can you check behind the drywall to be sure???
Drying should be easy, create very low vapor pressure with your LGR's forcing the moisture to move from the materials. Heat will make it move fast and narrowing down your drying chamber helps too.
You can remove the base and drill holes to push dry air in the cavity if you think its necessary. You might need to remove a section of drywall below the baseboard line to get your probes to check and make sure its dry.
Welding rods can be used in place of your probes pins if needed. Angled drill holes would allow you to use the meter at and angle if you choose not to remove a section of drywall.
We've have also carefully cut the carpet along that wall and they put new tack strip and reinstalled. It wasn't perfect but the homeowners were satisfied.
Not many options.