I have never had an issue with the drawer coming out during travel in over 25,000 miles. The drawer on our unit requires a very firm pull to bring it out for use. It sounds like the latch on yours may be broken or not present.
Guy & Phyllis
2012 RW36RL,DualA/C,KodiakDiskBrakes,TrailAir Tri-Glide,GY_G614's,Mor/RydeSRE4000,HDShackles/WetBolts
2011Dodge3500Laramie,CrewCab,4x4,SRW,Michelins, LongBed,6.7LCTD,3.73,PullRiteSuper5th20.5KHitch, BlueOxBedsaver
Same here, no problems as long as it's pushed firmly in so the latch on the back engages.
Michelle & Ann
2018 Chevy 3500HD Crew Cab High Country DRW, D/A, 2016 RW39MB, Dual ACs, Auto Level, Auto Sat Dish, Stack W/D, King Sleep #, 17.5" Sailuns w/Disc, MORryde IS & Pin, Comfort Ride Hitch, 5.5 Onan, Res Fridge & Induction Cook Top