Here's a cool combination of movements. For those modifying with shoulder presses, keep that bar as heavy as you can with good form. Watch your own numbers and when you max out, stay with it, focusing on the best mechanics, and watch your hands. Tight grip!
With a continuously running clock, do one pull-up and one handstand push-up the first minute, two pull-ups and two handstand push-ups the second minute, three pull-ups and three handstand push-ups the third minute... continuing as long as you are able. When you cannot complete the required number of reps for either exercise, continue only with the other as long as you are able.
Use as many sets in any order each minute as needed.