Hmm..well their website at
www.villasdeguatemala.com not much help, other than what you said about the "local specialties"
That being said the picture of the "sample offerings" looks like they have a whole broiled "Mojarra" fish which is a local white fleshed fish from Rio Dulce (and very yummy!) served with a side of arroz y frijoles negros (rice and black beans). If they have it when you go, try it!