Slightly different scenario, but we were under care for suspected IUGR. This was based on the fact that DS's head was measuring small.
I had SO MANY scans, it was ridiculous. DS had been head down since about 20 weeks and didn't budge from that point onwards. His legs and tummy always measured just fine.
ANYWAY, one consultant wanted to induce me at 37 weeks, based on a very poor scan where he was wiggling too much for them to get decent measurements. Having been scanned every 2 weeks from about 24 weeks, I was not personally concerned by his growth. I declined induction at 37 weeks, said I would reconsider at my 39 week scan (this happened around my 35 week scan).
The consultant I saw that week (it was always a different one) was an absolute cow and told me that my baby would "probably be stillborn" if I refused. I ended up making a complaint about her, but I digress.
I went into labour the day before my 39 week scan. It lasted overnight and I even made a joke that I had missed my scan appointment. DS was born happy and healthy at just over 9lbs.
I would say that you know your body best, and this isn't your first child so if you make small babies then you make small babies. As long as the doppler/fluid checks are ok and movements are still good, then I would not be accepting induction, especially not before 37 weeks. I would gather as much info as you can about your previous births etc so that you can have a reasoned, rational conversation with your healthcare professional. If your partner can be there to support you (or someone else) then I would certainly recommend they be there.