My DD went two years in a row (and we didn't have the funds set back). However, here's some things to think about: like others said, you are only going to compete one day. We planned a family vacation around it: AAU has it set up that you can get reduced priced park tickets and hotel deals. We actually stayed on the Disney property the second time for $90/night, got park tickets (5day park hopper w/2 days of water parks) for under $200 per person, packed snacks....it is doable if you get creative. Without the discounts through AAU, we would have never been able to do it.
We also did "fundraising": we took orders for bierocks and sold them. This allowed my daughter to be a part of the responsibility and understand the financial side of life. She loved it, we raised enough money to go, and had a wonderful time!
Hopefully, things will work out!