You could also send the execution command directly to the server. Something in the like of:

"C:\Program Files (x86)\Microsoft SQL Server\90\DTS\Binn\DTExec.exe" /SQL "\Folder\MyPackage" /SERVER "MyServer" /MAXCONCURRENT " -1 " /CHECKPOINTING OFF /REPORTING E

Note that this command is for a 64-bit machine. You should check where the dtexec.exe file is located on your server. The package MyPackage is deployed to the MSDB folder on the Integration Services server, located on the SQL Server.

I have however no idea what the security settings should be to make this work from ASP.NET.