In a lot of cases docs will 'strongly suggest' continuous monitoring, but they cannot force it on you, you are well within your rights to insist on intermittent monitoring only.
It is much more conducive to labouring naturally, being able to move freely instead of being hooked up to monitors, and the number of 'false positive' readings of fetal distress is pretty high, which increases your chances of being prematurely caught up in the cascade of intervention, and unfortunately often back to c/s territory.
All the best, do your research, don't be bullied, and create the environment you want to birth in. :)