There are good plastic recorders and there are cheap wood recorders at
about the same price. The good plastic sounds and plays MUCH better
than the cheap wood. Sure, a $700 wood alto (hopefully) plays better
than a $30 plastic alto, but that plastic alto plays rings around a
$50 wood alto (if you can find one that cheap). And plastic can handle
the abuse a child will cause.
Check out the Yamaha "302B" recorders (YRN-302B, YRS-302B,
YRA-302B). Not too long ago I got a set of 4 (sopranino-tenor) for
under $200 (gift for a 12 y.o.). They played well.