I personally do it like this (although that F2L case is kinda trash and I would try to avoid it)
regrip so that your right index and and right thumb are holding the DRF corner (bottom right). Then do an R move which will bring your right index finger and thumb to the top right. Then do an F with your right index, then after that do a U move with your right middle finger, then do an F’ with your left index finger, then do an R’ as usual.