KLR's are fine in the rain. Just take it easy.
People freak out about riding in the rain, but as long as your tires are good it's not a big deal. Get gloves with a squeegee on one of the fingers. Wear a bandana or balaclava and waterproof jacket/pants and riding in the rain is a breeze.
current:2009 KLX250s, 1975 Honda CB200t (project)