Blade length has a bit of impact with heeling from a purely geometric point-of-view. The longer the board the greater the separation between centres of pressure of the rig and board so the greater the heeling moment. But this is highly simplified.

Volume doesn't affect rate of sinkage, waterplane area does. Say you have a barge that is sitting on the water and you add some weight, it will sink a bit. Now take a "narrower" barge of the same length and weight and add the same weight, it will sink more than the first barge.

Sinkage = Weight Added / (Area of Waterplane x Water Density)

So to get a hull for a F16 out of the water with a Area of Waterplane of approximately 1.5m^2, total weight 260kg and sea water density 1025kg/m^3.

Sinkage = (260/2) / (1.5 x 1025)
= 0.0846m
= 85mm

With a waterplane area of say 1.2m

Sinkage = (260/2) / (1.2 x 1025)
= 0.1057m
= 106mm

With respect to cats of the same general overall beam and length, they will heel the same angles under the same heeling moment but the one with the "wider" hull won't sink as much so the windward hull will fly slightly earlier. In the above situation, the wider hulled F16 will fly a hull about 0.5 degrees of heel earlier than the "narrow" hull F16.