there are many ppl with JRA, AS, etc that don't have much if any problems with the arthritis yet the uveitis is chronic or vise versa. it's good news that you do not have to deal with the pain associated with the arthritis as well, especially since your uveitis is so problematic.
due to the nature of this board i can't give you names of doctors or clinics, however i do know several ppl from the UK that are getting treatment from excellent ocular immunologists in your general area. i am sure most of the search engines will turn up results for you on the modern treatment of uveitis and ocular immunology.
unfortunately i had to do the research myself to find the right doctors and treatment for my eyes as i had been told for years there wasn't much to be done for my situation. what a wonderful tool the internet is
it truely is great to be able to communicate with others that are dealing with this vision threatening disease who can understand that not all floaters are harmless. i am a member at a couple of uveitis support groups that have helped make dealing with it easier. take care