Sounds not dissimilar to my experience at KCH. Once I emailed the research fellow who'd been treating me only to discover a couple of months later that he'd left and not put an out of office on or forwarded his emails, so my emails had been disappearing into the ether. I wait a very long time for appointments. I'm having more success with the latest research fellow who eventually answers emails and has taken pity on me and has been giving me greater occipital nerve blocks every few months, or at least he was before COVID hit. I was on flunarizine for a while but had to come off it as it was giving me symptoms of anxiety and depression (and it took weeks for that to lift even after stopping it).
I'm under the care of Prof Peter Goadsby's team; he led the team that developed one of the injectables and gave the formula to pharma companies for free to develop. So I've never bothered trying to go elsewhere as I reckon all NHS teams will be similarly pressured and he seems to know what he's talking about.
They've never seemed keen on giving me any of the newest injectable treatments. I came very close last year but then the month I was due to get it I had a spectacularly good month where I only had four migraines, and when they heard that they pulled back. I struggled to hold back the tears when that happened. They seem keen to follow NICE guidelines of them being for chronic sufferers only, and as my worst month was 13 migraine days, I'm 2 days short, officially. I know they see people from all over the country so I probably seem ok in comparison to some of the very worst cases.
Currently hovering around 6-8 migraines a month, definitely linked to my cycle. Fewer than normal probably because I don't have to sit in a noisy office with flouro lighting while COVID wfh is happening. Prof Goadsby has me taking naproxen preemptively for around a week a month to help avoid menstrual migraines, but when your cycle isn't exactly regular this is easier said than done.