@HoosOnFirst it is funny to see such low statistics but then hear about all the women that it did break naturally. Mine did also, I felt a pop and jumped up and my water broke at 5:30am.
You should ideally be able to feel that urge to push even with an epidural. Most women can. Occasionally someone is a little more susceptible to the meds, and they get a really dense nerve block (then they usually can’t move their legs either), or the anesthesiologist is a little over generous with the dosage. In those cases you might not feel that pressure. In that case, asking them to turn the rate down slightly on the epidural is a good option. It should still keep you comfortable, but allow you to feel where and when to push.
Also, I'm pretty sure y'all are about to get REAL comfortable with poop in the next few months of parenthood. It's not a big deal.