You're only 38 weeks. You have plenty of time to dilate.
Out of curiosity? What's your doctors c-section rate?
I've actually never heard of LEEP scar tissue leading to dilation issues and if I were you I'd start researching it- especially if you don't want a c/s.
I had a LEEP done about 7 years ago and had no problems dilating with DD. I know that's only anecdotal, though.