Scooter/Wheelchair handoff at house entrances

[georgemoe]

Tried to do a quick search of this and could not find anything. This is primarily for Horror Nights only and why I didn't post in another park thread.
This will be the first year my wife will require her scooter to get around both the parks during the day and HHN at night.

This is not a daytime question but primarily about HHN. We will not have express nor do we want any ADA type of pass to get a return time. We wait
in lines. How does the scooter to wheelchair transition work. I've read you park your scooter at the house entrance and are given a park wheelchair
to use through the queue and house. My questions are -

Do the queues have enough wheelchairs or do you have to sometimes wait for one to return to the queue?
I'm guessing returning the wheelchair from the house exit to the queue start will eat up a bunch of time. Is this so?
I have an option to take a travel wheelchair into the park mounted to the scooter. Would this be a good option to avoid waits for a wheelchair?

We will be doing HHN for 5 nights so maximum house counts is not a huge issue.

Thanks!