This mod is a rewrite from scratch of old .pdmod mod which has been made DAHM-compatible with auto-updates and it can be easily toggled on and off thanks to DAHM's mod manager. It also doesn't require bundle modder or anything like that.
Now it also lets you select desired mask from a neat dropdown dialog list.

It's in experimental phase and not fully completed, but it's already working. Just needs some extra localization and hide character selection while you drop-in, since character you get then is completely random, so your preference doesn't matter and won't change anything.

In addition, mod is compatible with masks provided by DAHM's PAYDAY masks pack DLC 1.

Source code is available at https://github.com/zneix/character_n_mask_in_loadout