I had a thought last week while I was at the Tableau Conference. Have you tried showing the caption to your worksheet? I don't think it would show 52 filters but I do think it shows more than titles and tooltips do. Still not an ideal solution but might get you closer.
Have you tried the show caption option on the worksheet and dashboard prior to printing to PDF? Example below: The trend of median of Attending to Floor for Arrival Date Month. Color shows details about Departure Location Group. The data is filtered on All Inhouse Nursing Units, Doc Group Description and Arrival Date Fiscal. The All Inhouse Nursing Units filter keeps 119 members. The Doc Group Description filter keeps EVANGELICAL HOSPITALISTS. The Arrival Date Fiscal filter ranges from 12/1/2015 to 7/31/2018. The view is filtered on Departure Location Group, which keeps ICCU, Medical, Stepdown and Surgical.