When I germinated my store bought Jalapenos, Hungarian Hot Wax and Hot Mix, I had a little thermometer / humidistat in the dome (the mini kind of therm / humidistat that you would put in a humidor for cigars). Mine always reads 99% humidity and plenty of water droplets form on the dome, but my seed starting mix (Jiffy organic) is never as wet as yours looks.. I know they work because once the dome is removed, humidity drops to 25% - 75% (depending where I put the humidistat.. right on the soil mix is higher, 3ft away on my desk its 25%).
I could grab a handful of the starting mix and squeeze it and no water will come out, but it will stick together till you poke it, then it will fall apart. Kinda my litmus test for "is it too moist?"
I didn't use a heat mat, just two shelves for sprouting my seeds.. But the bulbs that light the bottom tier give bottom heat to the top tier to keep it a nice 80-85. So far, I've had awesome germ rates, but then again, they aren't superhots, The lights are 36" VHO, so they make more heat than NO or HO flourescents, and arent nearly as hot as MH. So far it works for me...