When you said that the water is running down the inside, left door frame, am assuming that you are looking at the door from the inside & the frame that has the water is the forward part of the door frame? Do you notice the water high or low on the floor? Does the leak happen anytime it rains or only when raining & windy?
You mentioned that you caulked around the door . . . did you also remove the outside light above the door & caulk that as well? If the leak is coming from the forward part of the trailer, reseal the porch light forward of the door.
If the water seems to be entering high on the frame, it could be from the antenna - if you remove the antenna & the insulation is soggy, then there's the problem.
If you only notice the water when it's raining & blowing, it could be that the door seal is suspect or the eyebrow above the door.
Leaks are pesky things to find - sometimes, the water entry point can be several feet away from the exit point. Over the years owning various trailers, we've sat inside during a rain event, observing how fast/much water is entering.
If we suspect an external entry point for the leak, we fashion a temporary "cover" over that area & install hours before the next rain - we apply with blue painter's tape on a dry surface - if the area is larger than tape width, we will fasten a small piece of plastic. Note that we remove ASAP after the rain experiment and NEVER use regular masking tape or duct tape on the trailer surface! If the cover stops or retards the leak, then we know where to seal.
Leak chasing can take lots of observation and detective work!