A.V.
Have you considered sponge baths? Have her stand on a thick, folded towel and you use a bucket (sand pails work well) and make a game of holding an arm out to wash, etc. Sometimes we sing the hokey pokey in the bath. Or we pretend she is a tree with her branches out wide and looking at the sun (head up, no water in eyes).
If she doesn't like her head wet, can you try a visor to keep the water out of her face? I used to tell DD that I'm sorry, but I'd try to be speedy and not get her face wet. She might also like to hold a dry washcloth over her eyes.
My DD went through a no baths phase (no toys would cheer her) and we just did bath time as quickly as possible. Now she likes baths, but will ask for a short bath if she doesn't want to play.