Great advice, Cranberry. Separation anxiety is real in cats. Your wife definitely needs to play a more active role when you are home so that she can continue that role when you are gone. Note that cats and bengals in general bond with ONE individual and that has been YOU. Have you thought about taking Nala with you to the chalet? OR are you there trying to actually accomplish some work?
You might try this one time and see how she behaves or if her behavior does not change. But, seriously, your wife needs to become as involved with the cat as you are. You should see a huge difference.