This was my first hatch with quail. But I was advised by various breeders when doing the lock down to take the turner out and put the trays with the eggs back into the bator to hatch. The turner actually holds the egg upright so they positioned good for the hatch and don't start pipping sideways, it keeps them from knocking around each other when the chicks start hatching and starting early hatches, also. It works, not one chick had unaborbed egg yolk sack.
I noticed the chicks just walked or hopped all around and over the trays. Layed against or over unhatched eggs and used them for support. I may try it with my chicken egg hatch in the fall. That one is not as important as earlier hatches for me. I had a pretty full bator, so when I removed chicks and took my third hand and pulled empty shells and with my 4th hand moved eggs and removed empty trays. I figured using help would be faster and would cut the time for that bator top to be off.
Oh, I pushed the racks together and to one end. So they wouldn't get stuck trying to go under the long end post and no they did not get stuck between the trays. They just sit and rest in the empty holes with their heads back against other eggs, then get out and fumble around to stretch those muscles.
These racks that I used are the tiny quail egg racks, not the larger and regular size chicken racks. Quail are so small they might not be able to get out of them. If you don't have quail racks, then I'd try some of the accordian fold paper or filter from an air filter, worth a try. The big breeders use something like that, the corragated roofing or some such thing.