You haven’t said what equipment you have, but I would be looking at more of a conditioning workout, keep it simple!
3 x max press ups will work your chest, front delts and triceps.
3 x max pullups/chins will work your back, biceps, forearms.
You can vary the grip and hand positions to change the focus, but don’t worry about putting on much size, it doesn’t happen by accident.
I used to do hardtail DH a fair bit and my upper back seemed to fatigue the most.