How bad is the damage?
I have seen pin holes develop in tubs before, and I had some success with an epoxy that dries into a cement-like shield. Its not a perfect solution or an elegant one, but it has worked for me in the past.
If your tub doesn't have gaping holes in it, you may want to try it, perhaps temporarily until you find a better tub. You mix together equal parts of two soft compounds that alone are like clay. When the two are mixed they react, become slightly warm to the touch, and blend together easily. You can spread the mixture like molding clay.
Clean the area around the hole thorougly to remove any detergent residue. Press the epoxy into the hole and a large area surrounding it. Press the edges until they're flat. Overnight, the epoxy dries into an impervious shield. If you made a good enough seal over the hole, it will usually be fixed. My own solution to add some security to this was to then put 3M sealant over the entire patch, to make a second cover over the hole.
On Kenmores, the tub gets moved a lot. Since yours, at least I think, is stationary, you should have a better shot that this repair will work, at least for a while as you search for something better.
It's been a while since I bought this, but the epoxy was available at appliance parts stores in a red box the size of a toothpaste package.
