What I did was , I bought some carpet at HD to fold in half and do what you're suggesting. I work leather and my sewing tools will work well for that. To protect the screen I have some static cling film that is reusable for that . Thanks for the suggestion.
Retired Fire Dept Battalion Chief
2016 Ever-Lite 232RBS
2012 F150 FX4 W/Max tow & Ecoboost
Getting old ain't for wimps!!!