I think both of these are baroque fingered (I’m pretty sure the Yamaha 300 series is). In my town’s schools, they teach the kids on really cheap German fingered recorders (they never really go into the high octave, and don’t bother with sharps or flats, so avoiding cross-fingering the F drives their choice, I guess). If they do the same in your district, you might consider getting one of those cheap German fingered recorders that you can find for less than $5 - it’s what all the other kids in the class will be playing. Otherwise your daughter might be confused because the fingering on her instrument won’t match what they’re teaching.
Are you sure the school isn’t ordering in bulk? My kids are in a pay-to-play school system (so not well funded in the “specials” area) and their music teacher sent home a note with the cost so we could buy our kids their own recorders. I think they were $6.00 with a case and they even got to choose the color. It’s not as if there aren’t plenty of nice recorders lying around our house but the colored plastic ones won out and they don’t sound bad at all…