I feral queen can't kill a loose queen in a newly placed trap out. She would be not able to get back into her hive and you would effectively capture that queen. Now, the lost workers may kill the new queen as they move into the trapout hive just because they aren't familiar with that new queens odors. For this reason I prefer to use a frame of eggs or a frame containing queen cells. The new queen smell is slow in coming on.Question 1) Do you always have to seed the trap out with a frame of nurse bees and eggs, or can you use a frame of nurse bees and a caged queen with candy plug, or even a frame containing queen cells that you got started in my home yard? I'm thinking a caged queen would be up and going before a frame of eggs. I understand the feral colony's queen will kill a queen that is loose in a newly placed trap out.
How big do you think the hive in there is? Considering it'll be the beginning of Sping I'd bet it's relatively small. Personally I prefer to use a 5 frame nuc as they are easier to move and lift. It's easier for the new hive to defend as well. To me the bees seem to do better in small containers until they are about 80% occupied. At that time pull a frame or two of brood to make more room (don't get the queen!) or move them into roomier quarters.Question 2) The size of the trap out. Does it make any difference if you use a 10 frame deep or a 5 frame box?
I enjoy trap outs. Not including your travel time I count on it taking 4 hours if it's a straight forward one. 1.5 hours to get the cone on. .5 hours for the next days visit make sure that cone is on right. .25 for the next 8 weeks. This assumes all goes well and they are a block away. I charge $50 an hour and I tell them it will take between 4 and 6 hours of my time but the trap out overall will take 2 months.
I also offer to extract the hive for $400 minimum this includes the first 4hours, $75 an hour after that. I will be careful, but I do no repairs. Obviously, the tougher the trap out or extraction the higher I'll bid it. For extractions, if it's anywhere near anything electrical I'm out.