12 volt CFL bulbs blowing, how are LED's?

I installed the Harbor Freight 45 watt solar panel kit on my trailer, after finding a better system I sold the HF kit but kept the 2 Edison base light fixtures. I bought a couple of CFL bulbs to use in the base's, but after a while the bulbs go out. I think when the converter is on it supplies a higher voltage (to charge the battery) and burns out the filament in the CFL bulbs. After some research I am considering using LED bulbs. My question is, would the LED Edison style base bulbs handle the converter's higher voltage without burning out?