Here is some stuff copy-and-pasted from my story notes that might help answer that:
Lab study, 2008, PLoS Pathogens
“In addition, we found that transmission of both strains of WNV accelerated sharply with increasing temperature, such that small increases in temperature had relatively large effects on transmission.”
http://www.plospathogens.org/article/info%3Adoi%2F10.1371%2Fjournal.ppat.1000092
2001 lab study – mosquitoes pick up, grow virus better in the heat:
http://www.bioone.org/doi/abs/10.1603/0022-2585-39.1.221
In mosquitoes held at 30°C, virus was recovered from nearly all mosquitoes tested, disseminated infections were detected as early as 4 d after the infectious blood meal, and >90% of all mosquitoes had a disseminated infection 12 or more days after the infectious blood meal. In contrast, for mosquitoes held at 18°C, disseminated infections were not detected until 25 d after the infectious blood meal, and even after 28 d, <30% contained a disseminated infection. Results for mosquitoes held at 20 and 26°C were intermediate for both infection and dissemination rates.
2008 lab study
http://online.liebertpub.com/doi/abs/10.1089/vbz.2007.0101?url_ver=Z39.88-2003&rfr_id=ori:rid:crossref.org&rfr_dat=cr_pub%3Dpubmed
Mosquitoes fed blood meals containing 6.2 logs plaque-forming units (pfu) WNV/mL and held at 25°C, 28°C, or 30°C for 13 days exhibited significantly different rates of infection (30%, 52%, 93%) and dissemination (33%, 22%, 81%) across temperatures.