P.M.
I'm confused... if you are producing enough milk to cause painful engorgement... then WHY can't you breastfeed? If it's medication related, please personal message me and I can tell you absolutely whether or not the medication is breastfeeding compatible. Most Drs, Peds & Obs will immediately and automatically say it is NOT safe, simply because they are too lazy or ignorant to actually look it up.
I have the Lactation guide IBCLCs and CLCs use for medication knowledge abut breastfeeding compatibility. It's called Medication and Mother's Milk by Dr T Hale, the 2008 Edition