Instead of punishing the player with expertise reward them for having it as a perk. Don't artificially increase the DC's...keep the DC's as they are even if it means the player passes it easily or doesn't even have to try.
This is a PERK of their class that they choose and they should be able to enjoy this perk. Instead, let them know that even greater things are possible. Let the PLAYER decide to try to do these impossible things, and set the DC's accordingly. This is ALSO a reward of the player's class and the perk they choose. They can actually CHOOSE to try to do these impossible things and stand a chance of succeeding.
Rather than punish the player and the party by inflating existing DC's, reward them for their choices and their perks. Give the PLAYER choice and also let it be a reward where THEY CAN CHOOSE to try things not normally possible to others and enjoy the class that they chose.