Just a few comments: As long as you can stradle the bike with your cycling shoes on, I wouldn't worry about the standover height. Ideally, you want a couple of centimeters, but I don't currently have that kind of clearance on my Bianchi, and it's never been an issue.
I won't comment on the pros and cons of 650c wheels, but I would agree with the others that, with your measurements, you should be able to find a standard geometry bike with 700c wheels. Also, toe overlap is a somewhat inflated issue. A minor amount of overlap isn't going to cause any problems. I have a bit right now on my Bianchi and I only notice it when I'm making a turn from a stopped position and that's easily fixed by making sure that my pedals are in the right position based on the direction of my turn. I'm currently working on designing a custom bike and have talked extensively to the builder and my fitter about the issue.
Based on your measurements, you might take a look at Bianchi by the way. I went through what you're going through a few years ago and have somewhat similar measurements as you. The 50cm Bianchi I ended up going with had the longest top tube/shortest standover (in a compact frame) that I could find. I have a longer torso relative to my short legs and Bianchi's geometry on their women-specific bikes is the only one that worked for me.
Live with intention. Walk to the edge. Listen hard. Practice wellness. Play with abandon. Laugh. Choose with no regret. Continue to learn. Appreciate your friends. Do what you love. Live as if this is all there is.
--Mary Anne Radmacher