JRiver doesn't automatically do anything with the folder structure your files are stored in other than import files from folders you have configured to auto import. It does set a FileName (Path) tag to the full path, but that doesn't really do much for you.
However, as part of the auto import feature, you can have it apply tags to each item that is imported, so something like this:
If(Regex([Filename (path)],/#\\\\SERVERNAME\\Images\\Trips\\(.*)\\#/,0,0),Regex([Filename (path)],/#\\\\SERVERNAME\\Images\\Trips\\(.*)\\#/,1,0),[Studio])
Will take the remaining portion of the file's full path and set the Studio tag to it. This approach may help you get to what you want, but it somewhat depends on how many levels you're looking to work with. You'll also need to think about how you want to customize your Theater View views to work with this.
To be successful using JRiver, you'll need to get away from the Windows file structure approach and instead think about how to tag your media so you can display it as desired in JRiver.
Jim's Wiki reference is a useful starting point, but doesn't have an example that fits your case. If you use my example from above, it may get you closer to where you want to be. Make sure you adjust "SERVERNAME\\Images\\Trips" in my example to fit your needs. If you haven't worked with regular expressions before, you're in for a bit of a learning curve there as well.
Getting JRiver to do what you want can be pretty challenging because it is so configurable.
Don't treat getting JRiver set up as a sprint, but more like long distance running - pace yourself.
Note that it may take a few passes to get to where you want to be. You may need to "start over" in JRiver a few times because those auto import rules only get applied at the time the file is first imported into JRiver. But don't be afraid to experiment a bit. You can always nuke your JRiver library and start over if you need to re-import everything. It could also make sense to start with a small, representative, set of files and get your rules configured properly, then bring the rest of the files in.