CRT TV and monitor repair is a dying trade, and has been for over a decade, so its getting harder and harder to find a repair shop that still handles them, and the few specialists that do wont be cheap.
As CRT TVs and monitors are no longer in production, yet are still in demand by the gaming and retro-arcade communities, and Sony CRT monitors used to be known for their quality, even if its BER (which is unlikely given the symptoms described unless a unobtanium Sony chip is fried), it should still have some value as a parts donor, so please don't scrap it without trying to find someone who wants it.