I agree. Recent studies suggest that LASIK will accomplish the same results as contacts, when she is old enough. On rare occasions, kids will cross with contacts despite being controlled with glasses. In that setting, LASIK would not be advisable.
Your daughter has accommodative esotropia and may always have this unless as she gets older she loses enough of her hyperopia that she no longer crosses. I have seen this many times. Also, remember that contact lenses, when she is older, will accomplish the same effect as the glasses.