You can use the menu item "URL" to navigate to the reports. Include the path to your report. and check the context option.
With regards to passing a parameter, do you mean passing the POV to the report or anything else?
I want to be able to hard code in various dimension values to catch them in a prompt on the target.
I doubt if you can do that. I have never tried. Do you have these on the row or the page? Trying to think how they would be in the context.