I think it would be a bother having to deal with two room keys during the last four days of your vacation.
But if your only problem is with having "paper" tickets, there is an easy way around that. Buy your ten day park hoppers at the Resort Concierge window.
They will be encoded on plastic "key" stock. Tickets purchased at the parks will be on the "paper" stock, which is not really paper or cardboard. But those purchased at the resort concierge desks are plastic.