Big baby and lots of amniotic fluid

37 and 1 today and had an ultrasound to check her growth because I've been measuring 3 weeks ahead. At 37 weeks she's an estimated 7lbs 4oz already and my amniotic fluid index is 22 (normal is 4-24). She's currently in the 71st percentile. No wonder I feel huge and miserable. 1cm dilated, 60% effaced and -1 station. I'm also pretty sure he stripped my membranes today when he checked me. I've also been having contractions at least every 5- 20 minutes the last week. I'm SO ready and hoping she is too. Anyone have experience with a large amount of fluid and a baby on the bigger side? I'm so hoping she'll come early!