If that is the choice you make for your family and it works, great.
But, here is the thing FOR US--and this may be very different for the OP. DD is a singer. She loves to perform and its where her heart is. When the choir travels to DC, they will perform at one of the beautiful, old cathedrals in that city, they will perform for Congress and be a part of several other things related to choir. That is something we can not do for dd on a family trip.
When they travel to Europe, they will perform in places that truly make it a once in a lifetime event. For a singer, to perform in these places is truly a wonderful event.
We have found that there are very few family trips that are honestly and truly "once in a lifetime", besides anywhere we choose to travel to will be there in a year or between school trips or whatever.
The OP's child has a chance to be a part of something that will not come again. IMHO, and if it was my child; she/he would be going if there was any way possible. The OP, of course, has to make that decision on her own.