Here are my experiences with sweeps, fwiw OP.
With #1 I had one at 40 weeks on the dot and ds was born approx. 12 hours later at home.
With #2 I refused one at 39 weeks and then my water broke a few days later and I didn't have any contractions, so I allowed a sweep to see if it would get contractions going. Again, ds2 was born about 8 hours later.
Talk to your cp. If you feel comfortable letting things go longer and baby is fine, than leave things as they are. If you feel well informed and want one, than go for it.
Whatever you decide I hope you're holding your new baby in your arms very soon!!

eta: just wanted to add to my story about ds2. When my water broke it was THICK with meconium and he had done some crazy acrobatics in utero the night before, which ultimately ended up with us giving birth in the hospital (completely intervention free). I often wonder if I'd had that sweep maybe we could have avoided the hospital. But probably not, since I personally don't think a sweep does anything if baby isn't ready.