I can confirm I noticed it on my LWB a couple of times, but only since I installed the Bridgestone Blizzaks, and it only happens when wet outside. Mostly near rear tires area, and never in the cabin. That said, I had a similar problem with my 2005 Subaru Outback XT, and if I recall correctly, perhaps my 09 Toyota Highlander (don't quote me on this second one). Believe it or not, if my memory is not failing, the excuse the service rep gave me was that the chemicals in the salt used on our roads sometimes reacts with the particular composition of the metal used in the exhaust to create that smell. He confirmed that many Subaru owners complained of the same and what we thought was rubber was actually a hot metallic smell. I am no chemist, so I would not even know whether this is possible or not, but I got the distinct sense that the next words out of his mouth were going to be related to some sort of bridge he has for sale.
We are not alone though. Google it and you will find many makes and models with the similar problems, although, some are attributed to oil, or grease from cracked boots, getting on the exhaust. If you're also noticing abnormal tire wear, I've read it could be improper alignment or torque balancing. I remember I once had a plastic bag melt to my catalytic converter and smell for weeks.