There is no ripple that I can detect with my 'scope. As for saturation. I don't
think so. I don't see any collapse in output voltage or surge in input current (would I? I don't know). The transformer is pretty capable, even though it is a little on the small side. I have got some potentially beefier transformers to try out.
I went for the regular 1oz, 2 layer board from OSHPark. I was wondering about the 2oz copper, but not sure if it would make any difference. I couldn't avoid a small ground loop with the 2-layer option, not sure if that makes any difference, but I wanted to stay away from 4 layers because ultimately I want to integrate it into a clock PCB and wanted to avoid the expense of 4 layers. I also avoided laying a ground plane under the transformer, but I wonder about leaving the ground plane there so I could use it as a thermal sink, but slap a bunch of vias in it to reduce (remove?) the eddy currents.
I'm pretty glad I went for surface mount everything. Way better selection of suitably spec'd components and of course it keeps it small :-)