A lot of the water comes from it dripping off your paddle on the opposite stroke.
Have you got some of them rubber rings on your paddle near the blades?
These can help with that.
I’ve got some Nookie troos that are perfect for that.
I never would wear a full dry suit kayaking even when getting on the river in the snow in the highlands. A two-piece set up would generally keep you pretty dry unless you had a prolonged swim.
For a SOT where you’re presumably on flat water most of the time, some decent trousers and a semi-dry top with a more comfortable neoprene neck would probably do you.
I think hiking trousers would wet-out fairly quick.
Nothing to stop you using regular waterproof walking trousers if you don’t usually swim much.