Dawnyal - that's sort of what we're doing too, though not for each session. Just the ones were he doesn't nurse well. One bonus of having a preemie...free electric double breast pump, courtesy of our insurance.


My long-term goal is to become a CNM--certified nurse-midwife. But I may well get sidetracked into the Army for a while; they're hurting for nurses like everyone else.
He's on a steroid and antibiotics to try and clear it up.
but we are still going at breastfeeding. It's a big challenge because my next oldest is only 14 months and he thinks nursing time is a great time to bring Momma sharp objects or beat his newborn sister in the head with board books... but we're managing. I pump a couple of times a day and get enough for DH to give her a bottle at bed time and I can freeze 1/2 - 1 ounce per day. It's a slow start! I breastfed my son til he was 5 months but then I was pregnant and lost my milk. I breastfed my daughter (now 4) for like 2 days then she quit latching, so I pumped & bottle-fed EBM for 2 months. 
that's the only thing that has really given her a tummy ache, when i ate broccoli, she cried and cried all night. 

They are going about twice a day, I think.