To be honest, for me it wasn't the "ring of fire" but at the end that hurt. You're so close to the end by then (literally the last push!) that you're focused on trying to birth your baby and excited to meet them (plus relieved labour is nearly over).
I found the contractions over a long period more challenging. Gas and air and sitting in a birth pool helped a lot.
Re healing: I admit I didn't look in the immediate aftermath. I asked the visiting midwife to check my stitches rather than get a hand mirror out! They gave me pain relief in the hospital so the first day or so I was pain free. A bit of pain after that but (1) you're allowed ibuprofen again - yay! And (2) you can buy kits for recovery (I had a Freya one) which have a peri bottle for gentle cleaning so you don't have to use loo roll, and even cooling pads! For me, breastfeeding was more painful than my episiotomy healing, which I didn't find too bad. Everything is ok now (one year on).
If you have an induction, birth is likely to me more painful and you're more likely to have an epidural, forceps etc., which in turn would mean more healing afterwards. So yeah, I'd pick a c section over an induction unless you're very wedded to the ideal of VB.
If you're very very anxious about giving birth (tokophobia) you might find a c-section is best, unless you really want to experience natural birth, in which case you can/should do some work on combatting your fears: hypnobirthing, listening to the fear free birth podcast, that sort of thing.
Also whatever you choose, have a think about what post partum support you need. You might want to explain to your partner or a family member that you'd like them to handle all cooking, laundry, bringing you drinks etc for the first couple of weeks so you can focus on recovery and looking after your bundle or joy! So it won't be a shock for them that they have a full time job on their hands. There are podcasts about recovery, although some are VERY aspirational and encourage 2 weeks in bed being waited on hand and foot (I wish!) but less unrealistically, lots of people stock their freezer with pre-cooked or ready meals in advance. You might also want to plan to stay in bed for the first few days (I didn't, but I'm retrospect I think I should have done less)