Thanks for the comments.

It makes sense that moving the seat is not a good way to get the cockpit fit I want since the seat needs to be properly aligned with the peddles.

I am going to move it back to the middle and see how it feels.

I am going to get a new bike and a professional fitting. But I think I will have a better chance at getting a good fitting with some experimentation on my own so I gain a better understanding of the dynamics.

I have purchased clipless pedals and I have shoes on the way. I plan to get my bike fit as well as I can on my own. Then have it professionally fit. Then buy a new bike that has the right frame geometry for me and have that fit.