I know this is twice your budget but, some serious bang for buck here:
https://skywatcheraustralia.com.au/p...e-dobsonian-2/
Have a look online, you might be able to pick it up for cheaper than RRP.
If it is too much of a stretch, she will still gain much enjoyment from a 3" table top; they are seriously underestimated as a useful little scope.
Don't forget a planisphere too... so she can learn to star hop with it...
Cheers