As Joseph said, there are lenders who can finance you without a US credit report. It costs slightly more, but rates are so low, anyway, that it hardly makes a difference.
When you work with Hunter-Broker, you receive THOUSANDS in Buyer Cash-Back through escrow. This "found money" can be used to pay down your loan to make it more like what's available for residents.
It all depends on if you are planning to finance your purchase or not. In terms of the purchase, you will have to fill out some IRS documents since you are a non-resident but there are no real restrictions for the purchase.
If you plan on financing the purchase, there are some restrictions but there are lenders that specialize in non-resident transactions.