Will putting the shoes in water and the dryer ruin them?

Converse shoes can be washed with water as outlined in this article. However, let them air dry as the heat from the dryer can melt the glue and cause the shoes to fall apart and can change the shape of the shoes. If you must use the dryer, pack the shoes with tissue paper to keep their shape, place inside a pillow case and tie around the shoes tightly, then use the lowest setting on the dryer. If you cannot change the setting on the dryer, don't use it at all. However, as noted in the article, use of the dryer is not recommended at all.