@snap
Ive been looking at Panaracer gravel king sk in 38mm would this be a good choice
I currently running 38mm Gravelking SKs on my Planet X London Road which does a mix of commuting into London (so fully road) and weekend duties on bridleways etc so similar to what you want.
I find them really good, nice and comfy and a good compromise between grip and rolling resistance.
However, I’m probably about to swap them out from something with a bit more grip to deal with the muddy bridleways. I’m sure they’d be ok if it was just gravel but I have to deal with mud also and it’s getting a bit slippery! So I guess, they would probably suit you well in the summer, winter it’ll depends on what the camel toe path is like in terms of surface and condition.