I have searched the formus and found several examples of Test Coverage for Catch blocks, however I have no been able to implement a solution that successfully covers it. Here is a quick code snippet of the Try/Catch from the Controller:

datacase = [SELECT ID, Subject, Recently_Escalated__c, Type, OwnerID, Data_Case_Description__c, Status, Description, Priority, Severity__c FROM Case WHERE Recently_Escalated__c = TRUE AND Type = 'Escalated'];
        try {
        supportcase = [SELECT ID, Subject, Recently_Escalated__c, Type, OwnerID, Description, Status, Priority, Severity__c, Data_Case_Description__c  FROM Case WHERE Recently_Escalated__c = TRUE AND Status = 'New'];
        } catch (Exception ex) {
            supportcase = null;

Test Class snippet:
 Case testSupportCase = New Case (
            Subject = 'Test Subject2',
            Type = 'Question',
            Recently_Escalated__c = TRUE,
            OwnerID = testOwnerID,
            Data_Case_Description__c = 'Test2',
            Description = 'Test2',
            Priority = 'High',
            Severity__c = 'Urgent',
            Status = 'New'

 Test.startTest();
            List<Case> newCaseList = new List<Case>();
            controller.resetCases();
            newCaseList = [SELECT ID, Recently_Escalated__c FROM CASE WHERE Recently_Escalated__c=TRUE];
            delete testSupportCase;
            controller.getSupportCase();
        Test.stopTest();