Hi. Mr. Axon is probably the most well known ES Dr in the UK, if you search his name you will find lots of testimonials. Here is the Dr list though, the UK has quite a few.
Styloids can continue to grow and create compression, usually on the jugular, rarely on the carotid artery, but that is possible. Lots of folks will get a CT of the head and neck with Contrast to look for compression, Dynamic if possible. Dynamic means different head positions, so you would really need to communicate how certain symptoms only happen if your head is tilted up, down, or sideways so it is ordered as Dynamic. Jugular Ultrasound is also good and I think the other popular one is CT Venogram.