Sounds like your existing telly is an LCD model that uses CCFL tubes - they do go 'pink' after lots of use and the only solution is to 'bin it' or replace the tubes - a specialist operation beyond the skills of the average DIYer.
I'm not 100% sure I 'get' your current set up, but if you would prefer to stick with Scart then there are tellies out there even though it's no longer a universal connection in the digital age. I'm a fan of Samsung tellies, I think if you look at the Richer Sounds website you might find they are still supplying tellies with Scart connections but they tend to be slightly not quite current models, but they offer multi year warranties so you are not completely up the swannee if it goes wrong in later years. You might also have to consider buying a combined Scart/RCA switcher, they are out there if you Google. I hope this is a little bit useful.