Target's Threshold brand has some decent rugs. We have this runner in the hall and this accent rug under the food/water bowls and at the back door; they're both latex-backed and machine washable, and no hardwood damage so far. There are some larger Threshold area rugs too, but I'm not sure what they're backed with. We have several 5x8 wool rugs from West Elm and always use a thick felted rug pad under them because the super-thin, grid-textured pads *have* damaged our floors in the past. The felted ones feel so much nicer, keep the rug in place better, and are worth the extra money in my opinion. They do contain rubber/latex but I've used them for years with no issues.