One thing that would improve the chest thing, is that when one goes over the allotted slots, one can choose a chest to get rid of instead of being forced to get rid of the chest won in the tower. For example, if I have four chests in the slots we are given, and they are all common chests, and I win a fifth time and get an epic chest, I should be allowed to get rid of a common chest so that I can keep the epic chest.
The trade-off would be that a chest that is close to opening will be removed for a chest that may take twelve hours to open. This way, there is already a cost to choosing a chest to eliminate.