Honey I'm right there with you!! My doctor cleared me yesterday to start naturally trying to speed up the process!! I'm also 37weeks I bought a yoga ball last night and drank some castor oil... The ball is giving me contractions while I'm on it (been bouncing for an hour now lol) also if you bought a breast pump you can use that for nipple stimulation!
Wait. Let that baby stay as long as it needs to. You might be uncomfortable but it needs to stay. They can only guess on weight. 99% of the time they are dead wrong.
Did you poke a hole in the epo capsules and do them vaginally? That shouldn't make you sick. Also try walking, sex, bouncing on a yoga ball..
I would wait another week a least, but baby will come when he/she is ready. I was told my first son was 8-9lbs and he was only 7lbs 9oz and my sister in law was told her daughter was almost 8lbs and she was only 6lbs.