Regardless of you landing in E or F, you will clear customs in F. Because you have access to your luggage, you will have to re-clear security prior to boarding a domestic flight.
If you choose to go to the ticketing level and re-clear security, there is a checkpoint at terminal F, so you do not need to go to the domestic terminal over by T. However, nobody will really be able to tell you which method is faster as it will be dictated by how many flights land and clear customs about the same time yours does.
I have PreCheck typically. So after clearing customs, I generally go upstairs to the departures level in F to go thru security as the departures level has PreCheck. The customs checkpoint does not, but from what I remember, they do have SkyPriority. You will have to take your shoes off an do the normal non-precheck screening though.