Is it possible to edit the suspended tickets view and to create business rules that take action on tickets in a suspended state?
As suspended tickets are not legitimate tickets in your account until they are recovered, it is not possible to edit the conditions for this view or natively create business rules to take action on them. However, "Built by Zendesk" released an App that allows for Bulk Delete of suspended tickets. This is the official app and an alternative to managing spam tickets. For more information about this app, see Bulk Delete App.
The suspended queue is a default part of Zendesk Support and will be shown to administrators and any agent with access to all tickets in your account.