In a French forum, a solution to this problem is currently under discussion (suggested by "Ange Gardien" for another game : d&d actually) :
- each player has all 20 results at his disposal (from 1, 2, 3... to 20) and uses them as he desires. Each result used is no longer available and you get it back only when you have exhausted all 20 results of your d20.
- this solution has not been tested and I see some complications with HQ2 (with masteries, giving low results a positive value), but what do you think of it in general ? And for playing HQ2 without dice and ipad ?