My doctor said to call if I get contractions that make me throw up,not BH... Your BH might be painful, but its not true labor so the hospital will not do anything. I would call your doctor and make sure they don't want you to go in.
I went into the hospital on Monday for contractions that were 4 minutes apart. They basically ended up slowing down while I was there and was sent home. I was totally nauseous the whole time and the nurse there barely cared... So it just depends.
Honestly if I'm not mistaken thats a sign of preterm labor so you should go to the doctor or hospital even though your considered full term I'd still go to the hospital