United isn’t it? That is not currently shipping birds after some problems thhey had. They are cheaper at about $100. Delta is around $150.
Also, when I had Paco shipped in the airline had changed their crate requirements so his owner had to buy one of theirs ($75) and switch him out at the airport, plus she had a special way she like to line the openings with screen and couldn’t. She was pretty miffed.
You can ship littles, like finches via the USPS. People will tell you it’s illegal because it used to be, but it is not any more. There are special b oxes labeled LIVE BIRDS INSIDE ... if you go this route I can tell you how to set it up with food/water. This costs $65 plus the box purchase and it is called 2-day shipping but if you’re anywhere near the locale, it gets there in 24 hours. MY PO workers get real excited w hen they see a box, and want to know what they look like LOL.