Melster-37 weeks is classed as full term i had my DS3 at 36 weeks 6 days and Ella was a c section at 38 weeks both bubs perfectly healthy.

T-Hopes just had her bub at 37 weeks c section no problems.

Why is your doctor giving you steroids when bubs would be only 18 days early (2 weeks 4 days) seems a bit extreme to me i was in hospital with placenta previa bleeding at 37 weeks and they said no need for steroids as they are pretty much useless after 36 weeks and very painful so i didnt have any.
I think i would lean towards my own doctor doing the c section early when it wouldnt end up an emergency so then you could have skin to skin and bond ect but if you want to go naturally you risk going into labour when your doctor is not here.

But me also having 4 natural births and 1 c section i totally understand your wanting to try for a natural birth it is a hard decision but just remeber bub will be fine a little early if she is a good size and it has been a healthy pregnancy.