Every fish tank I've ever had has gotten lots of algae unless I had an algae eater or two (and I've always liked to have other little bottom feeders like cories). Neither of my axolotl tanks has had any algae at all, ever. Honestly, if you've got your tank set up and maintained in a way to keep your axolotls healthy, you won't get any algae. Algae thrives and blooms when the water is fairly warm, when there's lots of light (either real or artificial), and there's plenty of nitrate as a food source for it. In your axolotl tank, you want it to be cold, really only enough light to be able to see and enjoy the axolotl, and only a small amount of nitrate (enough to tell that your nitrogen cycle is still going strong). If your tank allows for your axolotls to be happy, it WON'T allow for algae to be happy. You won't need an algae eater if the algae can't grow, and you won't need any other bottom feeders if you siphon with water changes and suck up poop and uneaten food with a turkey baster whenever you notice it in the tank.
And there you have it! lol. No need for any type of bottom-feeding fish or snails.