I believe you and I are due the same day? (8/26) I'm just 35 weeks today, and feel no hint of labor coming on..thankfully! I've had a preemie before, and although he was big and plump and had no real issues (34 weeker), he had to stay 3 weeks JUST to satisfy all the tests and overcome all the markers they wanted to see!
Last time around, I was a VBA2C, and found a hospital/OB to support me. At 41+ week, the Ob started getting heat from others at the hospital that may have to cover in his absence..they wanted (the other OB's) for me to schedule a section..my OB stood up for me, and he and I agreed to break my water to get me going, as I had 2 other successful vaginal births before my sections.
It went well, and I delivered just a few hours after breaking my water.
I'm not saying this is the best option for others, nor was it my preferred, but it was a lot of give and take with my situation. This time, I'm having a homebirth, so I may see the far side of 42 weeks, who knows!
All this to say that some OB's will help you along if you are a VBAC and at term. A mandatory "exit plan" at 38 weeks seems ambiguous, as your BP may be no higher at 39, 40 or more. So, the OB who will "let" you do a TOL/VBAC, may be willing to discuss encouraging ripening/birth via natural methods a term, or even something like a foley rather than immediately jumping to a RCS...? Maybe? Hopefully!