Was the A&E department not plastered with images like the one attached OP?
Part of the problem with 111 is it being algorithm-driven & call-handlers having limited options. 111 up in Scotland works very differently - it’s set up as a Health Board (roughly the equivalent to a Trust in England & NI, yes) & seems to work better; perhaps because it was designed to include a demographic (Highlands & Islands) whose access to medical care is more limited. I don’t think NHS England’s planning takes rural England into account in the same way (apparently the Isles of Scilly have a 24/7 minor injuries unit at their 10-bed [yes, 10] hospital though).
Did you try requesting a clinician call you rather than you having to go to the ED? They have GPs on staff who I’ve had my care managed by when I’ve used them. Admittedly I’ve been directed to go to A&E on one of those occasions because, well, I needed treatment there; but I it meant I knew I wasn’t wasting people’s time on a strike weekend 😶 When I got Covid at the start of the month they did my referral to my local Covid Medicine Delivery Unit [to get antivirals] & after failing to persuade me I would like a home GP visit at would end up being around midnight; impressed upon me the need to call back on any deterioration & left me to sleep.
There is a kind of “overflow” GP service run from the OOH GP service’s space for daytime emergencies in my area - it books up incredibly fast though.
The 111 GP service can take quite a long time to do callbacks & sometimes they want you to go down to see them (they rarely go out to patients due to the time it takes); but often they can diagnose & if necessary prescribe over the phone, sending out a prescription to your local pharmacy.
Certain symptoms will trigger a flag whereby they have to advise you go to the ED. If you know they’re part of a chronic condition you can advise the call handler of that.
It’s hard to tell from your OP how often you’re ending up in the ED: weekly, monthly, twice this year? Everyone has a different threshold for what they consider a large amount iyswim? Obviously you ending up there if at all avoidable isn’t good for anyone though 😕