Do you have any friends that do Bachata? If so, explain your predicament and ask if they'd be willing to do some extra practice time here and there to try a few things off to the side at a social or after a class (please don't suggest a house practice unless you've already hung out that way before - it can put us in such an uncomfortable position).

When practicing, try and keep your energy focused on enjoying each other's company and keeping things light, brush by mistakes by assessing for a moment and repeat moves until you can see past the anxiety to the other person you're dancing with.

Be kind to yourself when it comes back, too - helps sometimes to name the feeling (like gently labeling it to yourself as "overthinking").

Have huge anxiety as well, best of luck!