Welcome to the Growery Message Board! You are experiencing a small sample of what the site has to offer. Please login or register to post messages and view our exclusive members-only content. You'll gain access to additional forums, file attachments, board customizations, encrypted private messages, and much more!
Your soil looks pretty clunky and should definitely be looked into. Testing pH is where to start, though if your pH is truly around 7.5, that's not really a problem. A transplant into a soil without so many large particles is also a good idea (try 75% good organic potting soil + 25% perlite). As a first response measure, I would stick those seedlings into a greenhouse-like environment. If at the extreme end of the temperature and humidity ranges you provided (85°F with 39% rH), that alone could be enough to dry out young seedlings that haven't established themselves, particularly those being housed in a poor growing medium.
You can build a makeshift greenhouse with anything from a large glass bowl and some plastic wrap, to a large plate, some chopsticks and tinfoil - or even just a large plastic bag! Just get an enclosed space small enough to house all of your seedlings, place moist perlite on the bottom and drape some perforated plastic wrap over the top. Mist the perlite and walls of the greenhouse as necessary in order to keep the rH between 65% and 85%. Make sure to give it some fresh air exchange at least once or twice daily.
It shouldn't take long (5 - 10 days) for the seedlings to strengthen up and begin vegetative growth when doctored in a greenhouse environment. On the lighting, you can continue to use an HID light source, but a simple fluorescent light during the seedling stage is certainly appropriate as these young plants will not use most of the light offered by the HPS until they get into their vegetative stage. The fluoro can also be kept a little closer to the young plants and won't heat up the surrounding environment as quickly since you won't need as much light intensity.