Bearbait-
This is one of those projects that I've had quietly on the back burner with a number of others, some of which are so befuddlingly difficult that they go unmentioned!
But this need is real! A hardtop free of under structure that provides some sun and rain protection while not making a mess out of the open cockpit fishing configuration...worthy of considerable thought!
I think it should be molded into the athwartships curve of the roof for aesthetic reasons.
It should be made of layers of rigid plastic, fiberglass, or fiberglassed plywood, and can be built/laminated to the desired curve by constructing it on the roof one layer at a time.
The composite thickness of the layers will give it some of the desired strength, but the full stiffness for storage purposes will require some rigid ribs, either on top of or underneath the roof. Space considerations would probably require the struts on the top.
Perhaps wooden handrails on top of somewhat flatter wooden ribs would be good looking, appropriate stylewise, and provide significant stiffness when all laminated together. The more they are raised (within aesthetic reason). the stronger they will be, and the greater the cargo carrying and box-in/tie-down effect will be.
Deciding how far back to extend the roof will have to be based on a reasonable compromises between 1) fishing access, 2) the amount of desired weather protection, 3) storage area desired, and 4) structural limitations. Best here to get in the boat with a set of yardsticks and tapes and figure it out in 3-D real time/space.
Other important considerations will be how much to extend the cover/roof outward sideways or athwartships to get the width wider than the narrow center portion of the raised roof. Some form of cut-out on either side to permit easy entry into the boat may have to be made if the cover extends out sideways to the gun whales. Maybe even a hinged cut-out would be in order to allow access while preserving full athwartships protection.
There are lots of choices here, both in design considerations for function and engineering strength. I'd do quite a bit of thinking, especially onboard where I could see the real effect of dimensions on functionality, then build a simple mock up full-size in cardboard to get the shape right, then figure out how to build the strength into it.
A really well designed unit would be a great addition to the home built projects available here on this site, and could even be copied for commercial production with appropriate modifications for easy reproduction.
Another fun project! Good Luck! Joe.