F1 is feasible. U can contact a school as plan B.

Search for the company to transfer H1B is the top priority, Plan A. Now the job market is better, should be easy.

I hear if you submit an app to change from H1 to F1, you need to wait until this app is approved/rejected. Meanwhile, you can not change to others. This is to say, after changing to F1/F2, a new company hires you, but you need to wait for the F1 to approve then changed the 2nd H1. That's a bit complicated.

That is why I suggest take F1/F2 as the last resort.

Pls consult a lawyer to confirm the above.

Hope you don't need this advice.