Can you discuss your options with your caregiver? When I was getting ready for DD3, I talked to the midwife about the options for 3rd stage, and she said that if everything went well, they would certainly leave me to deliver the placenta naturally. If my labour was unusually long, or unusually short, they would administer the oxytocin shot right after DD was born. I had a homebirth, so avoiding a bleed for me was particularly important. I didn't want to have to transfer to hospital while recovering from birth. My active labour was 2 hours - pretty short - so she gave me the shot. I was fine with her judgement on that.
Is it possible for you to make an arrangement with your ob/midwife like that? Can you trust their decision, based on the circumstances? You can write out your wishes, listing the different options, and discuss them with your doctor, maybe, and then hopefully you can come to a conclusion where you know your doctor understands your wishes, and will respect them, keeping you and your baby safe, but not unnecessarily interfered with.
All the best for a great birth!