You should do as much handstand work as possible in the time allotted for your HS.
I discuss this a bit more in the programming article I write (in sig). But the quick summary is you want to do ONLY quality work, but from week to week you want to increase the density of your work/rest times.
It may be a good idea to switch from pullups and dips... are there easier variations you can use? Generally, it's a bit better if you can do pullups and dips because they have more ROM done fully than horizontal pulling and pushing..