OP I have been on the pill for most of the last 23 years, only not on it when having our 4 children, and found it affected me adversely more and more over the years. I realised I needed to come off hormonal contraception completely so we looked at all the other contraception available.
We decided our only options were diaphragm, cap or copper coil. We seriously looked at the diaphragm but it is nowhere near as effective as we wanted and it's a bit of a faff having to put it in and out so decided on the coil. If you are prepared to put it in and take it out every time you need it then it might be good for you, but if you're ever on holiday etc and forget to take it with you then you might have to do without sex or find a shop to buy condoms from. (But you might be more organised than me.)
Would you consider a copper coil? I decided on one for many reasons. It is over 99% effective (most effective contraception other than abstention), no hormones (unlike the hormonal version) and once it is in you don't need to take it out and replace it every time you have sex.
I have only had mine for just over two weeks but so far it is no problem. At the beginning you can bleed for 3 weeks and periods can be heavy for up to 6 months, but so far for me I have had very little bleeding. Yay. And apart from checking the strings are in position once a month you don't have to think about it.
It can take longer to get one than a diaphragm, depending on the area you are in. I had to wait for an appointment at the GUM clinic as doctors surgeries don't fit them here, but in my opinion it was worth it. It is not for everyone but might be worth seriously considering for yourself.
I am in my mid forties and, unlike some, had regular bleeds while on the pill up until about two years ago. Then they stopped and I had to stop the pill to have a period so was wondering how I would know if I was going through the menopause if I was on the pill with no bleeding and didn't have any other noticeable symptoms. I am now looking forward to having normal periods and no interference from the pill, and if my periods stop I will consider if it is the start of the menopause. I don't have to think about contraception every night and if we unexpectedly find we are childless for a few hours we can book into an hotel without having to go home to pick up a diaphragm/condom etc.
I think it is quicker to get a diaphragm compared with a coil though, all you need to do is ask at your surgery how to get one. If you have a nice receptionist they can give you an appointment with the correct person rather than you having to waste time seeing one medical professional only for them to tell you you need to see someone else. (When I first asked the receptionist at our doctors about who to see for a coil she said I needed the GUM clinic, a patient in the queue behinds ears visibly pricked up at the mention of that, so if you don't want everyone in the surgery to know about your contraception it would be worthwhile asking about it in private.)
Hope you get sorted and off those pills asap.