16K fiver is still way under the tow rating of that truck with 3.42 gears
The OP never mentioned the cab configuration....but if we assume it's a Crew Cab, that 16k fiver is "hardly" way under the tow rating of that truck if it's a 68RFE.
A 2015 RAM 3500 Crew Cab 4x4 DRW
w/68RFE & 3.42's has a 16,660 max trailer rating and a 25,300 GCWR.
A 2015 RAM 3500 Crew Cab 4x4 DRW
w/68RFE & 3.73's has a 18,660 max trailer rating and a 27,300 GCWR.
A 2015 RAM 3500 Crew Cab 4x4 DRW
w/68RFE & 4.10's has a 21,660 max trailer rating and a 30,300 GCWR.
Conversely....here's the AS69RC specs :
A 2015 RAM 3500 Crew Cab 4x4 DRW
w/AS69RC & 3.42's has a 20,510 max trailer rating and a 29,300 GCWR.
A 2015 RAM 3500 Crew Cab 4x4 DRW
w/AS69RC & 3.73's has a 23,510 max trailer rating and a 32,300 GCWR.
A 2015 RAM 3500 Crew Cab 4x4 DRW
w/AS69RC & 4.10's has a 29,010 max trailer rating and a 37,800 GCWR.
https://www.ramtrucks.com/assets/towing_guide/pdf/2015_ram_3500_towing_charts.pdf page #5