With the help of DPrager and crew, I was able to get my ITA search reports running. Thanks guys!
Resolution was to hit the SQL Server Reporting Services webpage (i.e. http://your_sql_server_name/Reports/Pages/Folder.aspx) then Edit in Report Builder certain Parameters for each search report so that its Default Values is set to "No default value". Now I said "certain" because the engineer I worked with knew which parameter(s) (usually pComputerName) to modify so I can't give you guys a definitive answer on fixing each search report but, hopefully, the example fix will provide clues for you to go on.
Anyway, my understanding is that the search reports, by default, try to go through the whole database before pulling anything up although tend to time out in the process. By selecting the No Default Value radio button for, say, Default Values in pComputerName in my Add Remove Programs Search report, the report came right up after which I could type in my desired search criteria via the SQL reporting services page. However, I discovered that the parameter fields I modified didn't allow me to type anything in them when running the reports via the SMC.
The fix for this was to simply run each search report from SQL reporting services, copy its URL, then create a new Web Link within your SMC to the url. Yah...it's a workaround where it was explained to me that something's not quite right with the view controls so we're actually running the reports right from reporting services instead of via the SMC. Your new web links should have a little globe on the icon so just need to tell your users to use these links instead for your ITA search reports.