Hey Danimal:
Here's what you might want to try with your Fermzilla/keg setup next time. Start with an empty sanitized keg, but don't worry about purging it with your CO2 tank. Run a beer line from the gas port of the Fermzilla to the beer port of the keg. Connect your spunding valve to the gas port of the keg...and let the fermentation CO2 do all of the work.
It is important to set up your lines as described even though it may go against logic. Doing so will allow the fermentation gas to leave the Fermzilla and flow through the beer port directly to the bottom of the keg through it's internal dip tube. Since CO2 is a heavy gas it will collect at the bottom while it fills. All of the the lighter air (mainly nitrogen and oxygen) will bleed out of the gas port at the top of the keg controlled by the spunding valve.
Don't worry about not being sure about getting all of the oxygen out...the average fermentation will produce 18 times it's volume in CO2 gas. Or simply put, that keg is going to be purged about 18 times during a brew. I've even "daisy chained" multiple kegs together and this process works great.
Why go through all of this to purge the keg you might ask. Here's the most important reason why:
By doing it this way, the keg's pressure will be equal to that of the Fermzilla. When it comes time to keg, you can use two beer lines to do a gravity transfer of the already carbonated brew from the Fermzilla to the keg. And, there's no need to force carbonate. Simply, do the transfer under pressure, drop the keg into the keezer, cool it down, and you're ready for the first sip. This method allows you to do an entire brew from grain to keg without the need for your CO2 tank.
(BTW, using your setup will not fully purge your keg. By allowing the gas leaving the Fermzilla to force out the 5 gallons of StarSan through the beer port, you are initially introducing air (not CO2) from the headspace of the Fermzilla (approx 3 gallons of volume) into the keg as that initial volume of air is expelled from the Fermzilla. Since air is lighter than CO2, it will immediately rise and become permanently trapped in the top of the keg because all the heavier CO2 is being forced out of the bottom through the keg's dip tube. This phenomena would not happen if you used your CO2 tank to displace the StarSan. You could also just wait a few hours to connect the keg after active fermentation has started. By that point the original air in the Fermzilla headspace would have been been purged by the fermentation CO2.)