It is recommended by the manufacturer to charge the RX200 batteries with a external charger, I don't have a heat problem unless I use the usb 3.0 port instead of one of the 2.0 ports. I also sometimes use my cell phone charger to charge them, my cell phone has a 850 mah battery so the 3000 mah batteries charge slower, and don't even get warm. I also remove the battery cover on the mod while charging just to make sure they don't get hot, but with the 160w dripbox I can't remove the cover while charging, and it doesn't get hot.
All the mods I have came with a usb cord, and they all look the same to me.