See if it were me (and given I'm 37+4 now, it could be in a few weeks) my concern would not be that I didn't want the monitoring per se - more that once you're in hospital for monitoring you're a bit of a sitting duck for HCP's with a more conservative view than you coming along and doing a little bit of emotional blackmail re. induction. I'd be much happier to trot along every day if I was confident that I wouldn't be put under pressure to accept other interventions without good cause and that I wouldn't have to discuss my reasons for declining other interventions unless new and pertinent information came to light.
I think my benchmark is that if they are really, genuinely concerned (rather than I've merely had the temerity to go 24 hours past the point their policy suggests induction should be started) then they'll be prepared to compromise on issues such as once I'm admitted DH will be staying with me for the duration, regardless of how slowly the process goes.
(Incidentally, I'm not recommending or advocating this approach, but the general consensus in HB communities is that the only way you can be compelled to attend hospital for the birth of your child is if you have been committed under the Mental Health Act and someone has got a court injunction in place to cover the issue. You do not need to attend monitoring to be "allowed" a HB. In the words of Mary Cronk, '"Allow" is not an appropriate word to use to a mentally competent adult.).
I'm a bit confused over your TTC maths, though - I've always understood that the LMP EDD assumes you ovulate 2 weeks after your LMP, so you're pregnant for 38 weeks (+ 2 weeks before you ovulate as more women know their LMP than their ovulation date). If you know you ovulated towards the end of the 2nd week after your LMP then then the EDD's from LMP and ovulation should be within a couple of days of each other 
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Either way, I think I'd be inclined to keep in close touch with your community MWs and come up with a care plan that you're all happy with and that is practical for you to implement. Possibly arrange a meeting with your CMW and a Supervisor of MWs / Head of Midwifery at the hospital - if the SoM/HoM pushes for daily monitoring they should be able to defend why so you should get more information, and once you have something agreed in writing from a Name it should take the pressure off re. hospital MWs following policy.
Good luck - and fingers crossed ISBN gets fed up with all the shilly-shallying around and makes an appearance soon. (For what is worth, I got to 41+3 with DD1 - I had a latent phase of a week or more, but active labour was a mere 7 hours start to finish at home with no drugs needed, even though she came out a respectable 9lb 12!)