I had a vaginal delivery on my first, and will be having a planned section this time.
My first was basically textbook everything I didn't want - was induced, induction failed initially, then baby was distressed and had to come out quickly. I had a ventuose delivery, an episiotomy but tore through it so a third degree tear. I did have an epidural, so thankfully didn't feel any of that at the time.
Recovery, however, was miraculous. I can genuinely say I felt no pain from the tear: I think the doctor who stitched me up felt really bad about how the delivery had gone, she certainly was incredibly thorough (was about 40 minutes in theatre having the stitches) and basically from the second the epidural wore off I had no pain at all. I was also quite lucky in that, I was checked by the postnatal physics purely because of the 3rd degree tear and they found some issues with my pelvic floor so I was seen afterwards for ages: they basically said while I didn't have continence issues now, they were worried I'd develop them later on if I didn't work on it. Again though, they actually thought most of that was to do with pregnancy, not the delivery. So I had a very fast physical recovery, better than usual postnatal follow up and no real continence issues except some urgency which I was supported to deal with and which I suspect would have happened anyway.
For me, my recovery was way way better and faster than everyone I know who had c-sections. And I was very squeamish about any kind of genital injury in advance. The only reason for a c section this time, which I'm quite worried about, is the increased risk of another 3rd degree tear: I feel like it might be tempting fate, and its been a harder pregnancy all round this time. However what I am concerned about is the recovery period, and being in pain for weeks. I definitely view it as vaginal = pain in labour, c-section = pain afterwards.
In terms of vaginal pain... I know people who felt generally swollen and a bit sore after a vaginal delivery for a week or so, like sitting on a haemorrhoid cushion type thing, but not to the extent they needed painkillers. Most pain people have talked about is that 'first poo' which I think is also an issue with a section. I don't know anyone who had ongoing vaginal pain like I think you're describing. The issue is, we're all different.
I will say, if you're very fit and healthy, I would say you'll do best with a vaginal delivery. My friends who were sporty before getting pregnant, and kept their fitness up - swimming, yoga, walking - had fast and easy deliveries and were up on their feet almost immediately regardless of size of baby.