I've played with sphere too on Ku size dish. The focal points for sphere are half-way between surface and center, so 30 foot radius would have focal points on the curve 15 feet from surface. I usually think about just trying for a single satellite even with sphere and for the standard f/D ratio that means you only need about +-30 degrees of arc from center--at the focal point that means the LNB will see about 80 degrees surface. I would think 90 degree Ts would be all you need--at the top and bottom you can use straight-line segments between curved pipes with an occasional straight line between top and bottom to fix the curve's shape.
It is kind of hard to attach reflector to pipes though. Unless you just use a glue of some kind. There is an easy-ish way to shape the reflector to fit a sphere (just like the way they cut up globe into segments to fit on flat map)--cut out parts of flat sheet so that when edges meet they would form sphere (there are origami examples of how it works--look for "origami sphere 16 flaps"). I could post equation. The amount you remove for +-30 degree arc is very small even on 30 foot radius scale.
If you use the idea of bending back the parts of flat sheet that are not needed for spherical reflector surface and use a stiffer material like that they use for fencing or inside cement, then you could build a self supporting dish. IMO