I am sitting on the fence a bit here, because although clearly for some women, the option of an epidural is totally 'the norm', and they wouldn't consider going into labour, particularly first time around, without knowing one is available, there are plenty of other women who really wouldn't feel so bothered about it.
I think you also need to remember that even if you were booked in at a hospital which offered epidurals, there is no cast iron guarantee you would get one, or at least not at the time you felt you needed it. Anaesthetists are not always available on demand, 24/7, and where they are, they will have to prioritise emergency situations, Csections etc. So it's probably not a good idea to pin everything on having one.
There are so many options inbetween no pain relief and a full on epidural (which is a major intervention and carries risks of increased interventions). I would investigate those. Gas and air can be great - as long as you don't expect it to block the pain, just alter how you feel.
FWIW, if it comes to forceps, you don't have to have an epidural to have these. I gave birth to my first in a MLU, 19 years ago, where epidurals weren't available, but if it looked as though forceps were needed, a GP trained in obstretrics would be called in from the local surgery. I was borderline on needing forceps, and the midwife called the GP in and explained that she would give me a local anaesthetic injection before the forceps were used. As it turned out, the wonderful midwife encouraged me to give one last final pushing attempt before they started on the forceps procedure, and my dd was born without needing them, but this may reassure you that you don't have to go down the epidural route even if you need help to get the baby out.
In terms of stats, I believe slightly over 50% of first time births are with epidural, and about one third of births overall, so although it's a fairly common procedure, I wouldn't describe it as 'routine'.
I would investigate further and look at the range of pain relief options. If you really can't face the idea of birth without knowing that there is an epidural option, then I guess you'll have to talk about delivering elsewhere, but as I say, bear in mind that one may not be available when you want anyway, so I would weigh up the disadvantages of travelling further, outside your area.