Let us know how long it lasts.
The usual suspect to that smokey burning smell is the vent blower motor has been left on. Or maybe your fleet has something more durable installed.
You could ask the engineers to cut some gasper holes in the windows for more air. Lots of operators leave the blower motor on until well after takeoff when the airspeed lets some ram air ventilate the cabin. Motor gets turned back on before landing.
On the ground the one of you that isn't steering can hold the door open with your foot.
Charron