Of course there is the honey, but there is also the critical role bees play in pollination, particularly crop fertilization. The loss of honey bee populations has the potential to have a devastating effect in many crops that at the moment we take for granted.
There are two suggestions. One is to prevent the mite laying by altering a chemical released by the bees. The other disrupts the life cycle of the mite. It doesn't have to be either/or, both approaches need to be tried, in addition to further suggestions.
The main thing we have to worry about taking into account our record of 'fixing' problems in nature (we don't seem to be that good at it)
Is that our efforts don't further endanger the bee populations
At the moment however, if we do nothing we will lose the bees.
There is the possibility, that bees will develop their own resistance to the mite naturally. Selective breeding may be an option.
I would be more inclined to listen to a beekeeper than a geneticist,.