Casey, just going by my experience, at 38 weeks they would probably do a sweep and that's about it. They may offer to do one again at 39 weeks or maybe even at 38 1/2 weeks if you really press them. But I think it's probably a bit too early for them to discuss medical induction (cervadil, etc) at this point. Again, this is just my experience. Of course if there was a medical reason that necessitated getting baby out sooner, then they'd be all over that.
Of course every dr is different and midwives are probably much more compasionate to the personal side of things than a dr will be.
It definitely can't hurt to put your situation out there and ask, the worst thing they do is nothing (although I think they'll have no issue doing a sweep).
Good luck!!!