My desktop 3d printer is slow and uses non-biological materials, but it can take an hour or more to print a small object in the approximately 8x8x8 print envelope. That time wouldn’t work too well in your field.
I understand the brain is toast if not oxygenated withing 7 minutes (or less) and other organs probably have similar deadlines. But expensive three-dee printers work faster and larger and your cherry solution is not out of range in terms of those 3dee printers’ time constraints (as far as I can see).
When you get the tissue deposition worked out, let me know. I want to print Salma Hayek. (And I am single.)
Temperature would be a factor too. If the brain is chilled it can withstand anoxia far longer.