do you have to stay at the jungle lodge? Unless you really have your heart set on staying there I recommend staying in Flores and taking one of the collectivo cabs for $6 to Tikal, about a half hour ride. Flores is a really cute town, and plenty of nice hotels for $25-35 US. All of them that I know of take credit cards. My room was even on the lake there. It is worth a night or two in Flores.

I personally would not wire money to a hotels or tour companies bank account.