There is no such functionality. There is selection tool but this is just for entities like components. You can use filters (F5) to select just dimmensions, but tose filters are not as precise as you want.
It looks like its possible only thru API.
It's not exactly what you are asking for, but CTRL-A does a mass selection of all like entities. Pre-select one instance, then press CTRL-A. However, the selection set is a bit wider that I think you need in your request.
Thanks Matthew, that does the trick for turnning the quantity field on and off for all balloons on a drawing.