I've recently moved to a new state and I'm having a tough time getting customers. I came from Hawaii, where there were soooo many bakers in the area. I'm now in Arizona and there is basically no competition in this area. You would think that would make it easier right?....WRONG!

I've lowered my prices and still, once I tell people my prices I get "oh, thats out of my price range" or "That's more than I was looking to spend".
They don't care about quality, all they want is cheap, cheap, cheap.

I'm starting to get frustrated, any advice??

You have to start over again with market research and decide if the business is viable as-is, or you need to readjust your pricing (and maybe your quality) to the new market.

What are your current prices, and what is your marketing strategy?

There may be a very good reason there is no competition in your area, the local demographics may not be able to support a premium-priced cake business.