Barging here - I just had my third vbac (fifth child), while on anticoagulants, with no epidural or other meds. I posted my story on the vbac board. The usual standard of care is induction, but with the vbac issue I could not be induced. As luck would have it, I tend to have preterm labor issues anyway, so going late is not a problem for me. I delivered at 38 weeks this time, going into labor on my own. I switched from lovenox to heparin at 36 weeks (lovenox dose was 40 mg 2x per day; heparin dose was 10,000 units 2x per day), but ended up not getting the epidural because I went into labor suddenly, not long after my heparin shot. (It was I who wanted the epidural. My docs mildly preferred that I had an epidural in place but were not adamant about it.)
My OBs had said that the heparin presented no bleeding problems with regard to delivery, whether vaginally or by section, except that epidural is contraindicated when there's not enough time after the last shot because the risks are so great. I was also on low dose aspirin and fish oil. Indeed, I had no bleeding problems. After a few more days of lovenox, I'm now on oral coumadin for the rest of the postpartum period (both lovenox and coumadin are safe for breastfeeding).
I had my first child while on no anticoagulants (that was before I knew about my clotting issues) and there were growth restriction issues and she also has had subsequent significant developmental delays and sensory processing disorder. If only I could go back in time.
Incidentally, I loved the care I got at my peri's office. They monitored my blood levels of lovenox monthly for dose adjustment. I also had monthly ultrasounds to check growth. Myself, and some of my friends, have been on the wrong side of small odds too many times, so I welcome that kind of care. None of that prevented me from having a med-free birth in the hospital. The OB didn't even tell me when to push; she just let it happen. Maybe I was really lucky with my OB, or with my labor or both, I don't know.
With needing a vbac, I don't see how they can really induce you anyway, at least not with medicine (there are some who will use pit to induce with a vbac, but my docs would not). The most my docs would be willing to do to move things along was to do a membrane stripping if there was a favorable cervix (they wouldn't even recommend nipple stimulation). Check the vbac board for old posts discussing inducing vbacs.