What visa options are available for my daughter after an overstay and a failed DTV application in Thailand?

Hello, my daughter is currently on a training scholarship at Thanyapura Sports Resort in Phuket. They originally had her enter Thailand on a non-ed immigrant visa (I think is what it was called). She had it extended and was in Phuket about a year and a half. She traveled to a competition in Europe in December and as the paperwork for her contract renewal was delayed, she ended up on overstay for a couple weeks; she paid the fee when she left. She now has a US passport - originally was on a Micronesian passport as she's dual citizen. Thanyapura had told her to go to Laos and apply for the DTV, which she did, but she was denied. They said the reason was lack of 500,000 in her account, though the training resort had provided a letter for her to confirm her financial support; the resort said that's all she needed, but apparently they were wrong. We are at a loss now as to what visa she should apply for. Her current contract is for a year. She is back in Micronesia and the e-visa site says US citizens applying in Micronesia must apply online through the Beijing embassy.

Any suggestions as to what visa she should apply for? Or should she just return on visa-exempt? Or is it a big risk of being denied entry because of the previous overstay (though on a different passport)?