OP- would reverse pressure massage (i think that's what its called) help here?
Reverse pressure softening could help - that helps relieve the pressure caused by excess fluid (not milk) behind the breast. It's a good trick in those first few weeks.

Melissa, you could give it a try, check the ABA website here:
https://www.breastfeeding.asn.au/bf-...um/engorgement

That's got some info on reverse pressure softening.