How to get rid of color profiles at export , have matching appearance in Photoshop?

I am trying to  update  my workflow in Designer by sending images  for final composition, crop, export  and archiving to be done  in Photoshop.    So I need  the files be looking same in Photoshop.    I want to keep 16bit integer format at least  and want a quick one to update and save inside PHs smart objects.      I Did it with pngs before   but they slow as hell in PHs .

Tiff looks much quicker   but I seems couldn't get rid of  extra gamma correction  in PHs.     Is there a way to export tifs as is without  any profile attached?  The way PSH would  use default srgb profile without asking anything or recalculating colors ?     For some  reason I thoght RAW is the way but looks like it doesn't .