I'm also in the 240 lb. range. I generally ride 2 different tires, the 43mm Gravelking SS+, and the Rene Herse Hurricane Ridge with the endurance + casing, which is 42mm.
For the Gravelkings, If I'm riding mostly gravel I will set the pressure at 30 front and 35 rear. If it is predominantly pavement I will go 33/38.
For the Hurricance Rides tires, they mostly see gravel and are always at 32 front and 37 rear.