Can you just get in the empty tub with her and cuddle in there for a while? Cuddle and feed her little treats?

Next time you could get in with her and just let the faucet drip, let her lick it etc.

Then you could put a bathing suit on and get in with her and actually turn the faucet on, but not stop up the tub.

Then get in with her and fill the tub.

Then get in with her and fill the tub, and get out leaving her in there?

A lot of work but better than the "husky death scream"?!