My kenmore washer is rusty too.
I use an expensive spray can of white epoxy enamel paint on it after
sanding and wirebrushing the rust spots down to bare metal. Several
coats per instructions on the can.

It lasts about 3 years and then I do it again.

Thanks, if it comes down to paying for a new basket, I'll try this
first.

Any recommendations on brands, etc of paint?

Also, how can you tell it's wearing out?