Welcome to the forum Chris....
Don't know about drogues etc but.... They do tend to swing about quite a bit at anchor. They do like to sit in the wind more than the tide, I should think a small drogue on a short line wouldn't be to much to live with. There a quite a few Parkers at Brancaster that dry out with out any problems. Mine isn't on a drying mooring. I'm sure someone will be along soon that is on a drying mooring and will reassure you.
They are great boats....never regretted buying it...
Have a look around the website and this forum and enjoy.
Paul Burton.
Parker 235/ 40 Lady Penelope...
Paul Burton.
Wayfarer no.9362