I have often toyed with the idea of making a scuba tank diameter PVC pipe storage container, and clipping it off to the left side like a stage bottle....it could have a removable cap for each end, and on the end you would want to put lobster in, you would want the one way system used in the lobster hotel dive bags where you push them through--and they can not get back out.
The net needs to be re-invented--as collapsible. Nets and tickle stick are great lobster catching combos, but the typical round net has enormous drag during your swimming. If you could make one collapsible, and then just open it up when you want to tickle a lobster out of a hole, that would be slick! When not using, it would be streamlined, with the net all crushed tight and out of the current. It could be bungeed to the "Pvc stage bottle".
So far, my normal plan has been to drag a brownies bell bottomed bag ( because it can be inflated and sent up or just made neutral) and to use a snare, because I hate the drag of a net.... I do prefer the net, if it had no drag. I can tuck the Brownies bag behind my back out of drag, in the mc storage pouch behind the backplate--up until I get the first lobster..then, I hand carry it as DD does.