Polarized clip-ons off the rack are fine over your prescription glasses. I prefer the amber color.
Some fit better than others. For example, when flipped down over your glasses, one brand may not cover the lenses closely, and that gap lets in a little glare, while another brand will cover just right. Also check for how well they stay in the up position under your hat. Just try before you buy.
I have no idea about brands since mine don't have that info on them. I usually get a couple of seasons out of clip-ons before they get too scratched to continue. They do scratch easily so I take pretty good care of them. Fortunately they are usually under $10.00.
I find the ability to flip up or down in an instant to be a useful feature. For example, it is useful to know how ripply vs. smooth water is, or if a portion of stream is marginally deeper than usual. Polarized sunglasses mask some of those subtle differences, and quckly flipping them out of the way to see helps. Then there is the common issue of going from brightly lit to deeply shaded frequently as you move along the stream.
As an FYI: when I needed bi-focals 15 years or so ago, I could not get used to fishing or driving with them. The stream bottom was never in focus when wading. I switched back to the last prescription glasses I wore before gettng the bi-focals. One of the many compromises that comes with aging.