Thanks for the input everyone!
I've decided to go in a slightly different direction than I originally planned. I decided I want to be able to use the net with my hammock setup as well as on the ground, so I had to make some changes, but I'm really happy with the design I've arrived at.
It's still going to be a basic A-frame shape, but instead of sewing in the bathtub floor, I'm going to leave the floor open (think SMD Wild Oasis)and put shock cord around the bottom opening. Then, I'll make a separate bathtub floor, which the net can be cinched into/around using the shock cord. If I don't expect rain, I'll leave the tub at home and just use my foam pad as the floor. I think I've settled on making the end walls about 2/3 SilNy for weather protection, with a waterproof J-shaped zipper.
To enable hammock use, I'll make a Velcro slit in both end walls to allow my suspension to go through, and cinch the cord tighter to be snug around the bottom of the hammock. Other than that it should be the same as pitching it on the ground.
James, you're right about the weight. I thought I was willing to take the weight penalty in order to have fabric I wouldn't feel nervous about messing up, but then I checked some prices and realized could get all the silnylon I need for cheaper than that tarp is anyway. And good call on that YMG tent, it's almost exactly what I was thinking originally.
Anthony, I saw what you said about the netting to floor interface, and just decided to make it a non-issue haha. With the separate bathtub floor, all I have to do is tuck/cinch the netting around the floor. As far as rain splash, the SilNy end walls should handle that. I plan to attach it to the lines/stakes I rig my tarp from, probably using some Prusik knots.
Jeffrey, there will probably be at least 1.5 feet between the end of the tarp and the start of the net tent, so I am planning on putting some good clearance between the two unless I get caught in some crazy weather. As far as adding 'vertical closure' to the end walls, do you mean the zipper to get in? Not trying to be funny here, but is there another way to get into a tent like this? And I agree about walls vs beaks. I understand beaks if your tarp is you entire shelter, but if you use an inner, walls are the way to go. I'll try to take some good photos for you.