There are at least a couple resistant varieties ("Princeton" comes to mind) but none are fully immune. Resistance seems to depend on the type of beetle infesting the tree and other stressors.
Yup. We lost two, massive elms in our yard this past spring to Dutch Elm Disease. By the time you spot it, it's too late.
I hope we've learned from the Chestnut fiasco that the 'solution' to this is probably not to cut down all Elm trees.