It might work like how my table handles the shield spell but in reverse. For example....
DM rolls attack against Pat's Tiefling Wizard named Tim.
DM: I am rolling the goblin's attack. Pat, what's Tim's AC?
Pat: 15.
DM rolls a 16. Does not tell anyone.
DM: Okay, the goblin hits you. I know you have at least one possible reaction, what does Tim do?
Pat: Tim casts shield! His AC is now 20.
DM: The attack misses!
DM then describes to the Party how the goblin arrow slings towards Tim, stopping only when it gets stuck in a last second distortion of abjuration magics.