I do not have the ability to store on deck due to the interference with my baby stay.
Is your baby stay removable? I've seen a setup where the dinghy was modified to have a removable bung put in it that lined up with the baby stay. For long passages it was stowed on deck and the baby stay re-attached to run through the dinghy. See The Australian S and S 34 Owners Forum - S&S34 DINGHY/TENDER - YOUR THOUGHTS?
When my current inflatable is done I may look into this.