You don't even need to wipe out all mosquitoes - just a few species (something like 6 out of 300) account for the vast majority of disease transmitted.
To that end, check out this [0] anti-mosquito laser weapon, which they claim can be tuned to target only females based on wing beat frequencies. While I disagree with the principal, a laser mosquito defense system gets cool points from me for creativity.
[0] http://spectrum.ieee.org/tech-talk/aerospace/military/laser-...
Then find a way to replace the native populations with the hardened ones. (For example some kind of selective trap)
Something similar to what is currently done with livestock, which is vaccinated against many posible human patogens.
I think, experimentation with mosquitoes could be more agressive that trying to find a way to cure a human. And you would not eliminate the population which could lead to problems down the road.
"Three U.S. labs that handle mosquitoes, two in California and one in Virginia, say they are already working toward a gene drive for Aedes aegypti" https://www.technologyreview.com/s/600689/we-have-the-techno...