Do Adrenaline and Hope stack?
Based on the wiki it looks like Hope and Adrenaline can't stack. Adrenaline is activated as soon as the last generator is completed while Hope isn't activated until an Exit Gate is opened.
Unless Hope activates once the hatch closes like Adrenaline does I don't think that these perks have a chance to stack, but if they do then they definitely can stack. You can use any other exhaustion perk and get a speed boost while Hope is activated and get both haste status effects as well.