Heatertreater used to have a very detailed write-up on the various HVAC doors in the Rams but they have changed their site and I think they have the same information on a diagnosis video now. I liked the write-up better myself. Anyway, best I remember it sounds like you have mode door issues. Mode door 1 controls whether the airflow goes to the regular panel vents (that blow on you) or into the second stage of the system which leads to the floor and defrost vents. Once mode door 1 has the air directed away from the panel vents and into the second stage, mode door 2 then directs the air either to the defrost or to the floor. Once again, to the best of my memory mode door 1 is relatively easy to replace with their kit. Mode door 2, however, is the door that is most difficult to get to of them all. It can be replaced much easier than the dealer would do it but it still involves pulling out a significant amount of the dash and related components. According to heatertreater, mode door 2 always falls down when it fails and blocks the airflow to the floor. Therefore, as long as mode door 1 is functioning, you would still be able to switch between panel vents and defrost, you would just never have any floor air. Most people apparently elect to just live with this rather than trying to fix mode door 2.
Check out the video and see if you think this might be your problem. It also might give you an idea of what is involved in fixing it. Out of curiousity, where did you get the new recirc door that you replaced?
06-08 chrome clads w/33" Cooper Discoverer H/T Plus, Mopar tailgate spoiler, debadged door trim & tailgate emblems, 13" antenna, LED dome & maps, Magnaflow 22" SI/DO, 18% tint, "HEMI" hood spears, VHT tinted tails & third brake light, Lamin-x optic blue fogs, leveled w/McGaughys 2" drop shackles.