do you have leaves already? If the persimmon already has growth for the year, it is highly likely that that growth will get burned back. If the plant has its current growth burned back by the cold numerous times, it will significantly set the tree back during the year you want it to establish into the ground.
I’m in a very similar climate. I won’t even move plants out, some with no current growth (still dormant) and some with awakening growth, for another few weeks at least.
Your date for last frost is still some weeks away. Give it time…
Of course, that’s just my opinion.
Scott