Bill.
I am not an expert on rug cleaning just a student. Pee Radicator is way too high on the PH scale for wool. However. there is a guy from New Zealand thats been cleaning wool rugs for 100 years with cleaning solutions on the high PH side and never had a problem. I think the trick might be to make sure it doent remain on the high side, but that another topic of discussion.
If the urine odor is heavy your gonna have to flood, submerge, or flush like Charles is doing to remove the odor and with a solution that is safe to use on wool. Since you don't have a wash pit or Demon. I read this on one of the boards. You lay a plastic on the floor, lay some padding and put the rug on the padding and flood the rug with the cleaning solution. You then take a water claw and extract the solution and dry with air movers. I never have tried it, but sounds like a good way to remove the water from the rug.
What I would recommend is that you make contact with the biggest and best rug plant in your area. Let them know that you would like to subcontract rug cleaning to them. The standard charge is normally 50% below their retail charge. You can start marketing rug cleaning and clean the synthetics, or wools that you feel comfortable cleaning yourself. If you get cotton, silk, Navajo rugs, Orientals, odor issues or anything else you don't want to clean you can send it to them.
This will give you time to learn about cleaning rugs and purchase the right equipment to do the job. The plant that I am going to use even picks up the rugs at my location. Check it out.