Honestly, instead of adding the ticket system and either keeping the current 36 hour refresh timer or increasing the timer as Bayohne mentioned here, I'd really just like to see an "X (32 maybe?) number of leves per week, refreshes Sundays/Mondays" type of system. Essentially, it would be the same as your proposed ticket implementation, just with slightly less stress.

Some people might say, "But people will blow through all 32 in one day, then what?" So? That can be their choice. If people are smart, they'll spread them out over however long they need to and play at their own pace, all while not feeling pressured about missing the 36 hour refresh timer.