If you are willing there is nothing to stop you from running ANTS Performance Profiler 6.x (APP) on your production server for a few hours.
If you have a test server then this is the recommended deployment environment for the application, but of course that depends on if the performance problems are also present there - from your post I am assuming not.
Profiling in a continuous/live environment is a task we are currently exploring for future releases of APP and we are in the middle of running an Early Access Program (EAP) for APP 7 that incorporates the beginning of this continuous profiling functionality. This is achieved within a separate Web UI.
We are recommending the deployment of the EAP to be on a development/test environment; in this case this is due to the tool being in the earlier stages of development, and we are still exploring the feasibility of deploying it in particular setups.
The current functionality of the EAP's Continuous Profiler does not allow you to filter via Application Pools yet (though of course this is planned).
The EAP can be found at: http://help.red-gate.com/help/ANTSPerfo ... d_eap.html
The setup documentation can be found here: http://downloads.red-gate.com/HelpPDF/A ... tarted.pdf
The current supported browsers for the Continuous Profiling Web UI are Internet Explorer 9, Firefox and Chrome.