Try blowing hot air from a hair dryer on the bite(s). I was in Sanibel a few years ago and got a lot of no seeum itchy bites. I was desperate to stop the itching, and I read online that blowing a hot hair dryer on the bites makes the sting go away. It sure did - no itching for about 6 hours and I slept through the night. I also developed a sun allergy that makes me itch on my legs, arms, and neck (it sucks), but I use the hot hair blower technique and it works to stop the itching with the allergy as well. Of course, you have to be careful that you don't burn yourself with the hair blower (because you want it hot -and it actually feels strangely good to feel the sting being sucked away - really, it's strange), and I wouldn't blow a dryer on kids because I wouldn't be able to tell when hot is too hot. You'll love me for this advice
I use cactus juice to prevent some of the biting. You can also buy these awesomely fun electric tennis rackets that electrocute the bugs - we use these at home with flies (it just stuns flies but kills mosquitos so you ahve to kill the flies after stunning them):
https://www.amazon.com/Bugzoff-Elec...31701720&sr=8-14&keywords=electric+bug+zapper