I normally use wire-wrap wire because I have plenty left over from my freelance electronics days. It's a solid core with kynar insulation. Kynar doesn't stretch, so it won't go over the distributor cap. Sometimes you can find short, prestripped wirew-wrap wires at surplus electronics dealers. Get those, and just slide the insulation off the wire.
If you can strip the wire cleanly, you can strip enough to grab with pliers, then cut off 1.5" of insulated wire, and just slide the insulation off. I'd be surprised if that technique works with PVC insulation, but it's worth a try.
If you have an alligator clip handy, you might try stripping the wire with that. Open the clip, put the wire down the clip, hold the clip closed, and pull the wire out.
No-Nik wire strippers will definitely remove the insulation without damaging it. They're expensive new, but you might find one surplus. There are also hand wire wrapping tools with a built-in stripper. Googling "hand wire wrap tool" gets you a few vendors.
Sorry. I didn't mean to write a treatise. Hope this helps.
-- Dave Ambrose