If you live in a secluded place or can find a secret spot, you can transplant it out side. You can visit it with water and nutrients or even go "au natural"
it will take longer but it will have plenty of room..lol
with some research you can find recipes for home made ferts and things but be advised...this can make it taste like poop from whAt i here.
any size Cfl bulb will work, keep it covered, a clear plastic cup works well.
if no bulbs find a window with the best light and no neighbors..,.
If it is humid where you live, poke holes in the cup so you dont get mold.
when it is a sprout and there is good root structure poking throught the bottom you may transplant it out side. if you can finsd a spot with a mellow breeze that would be good(it sounds hot where you live)
keep the rockwool moist but not saturated, it should feel heavy in your hand when you pick it up but it should not drip or be mushy.
if you buy dirt, i hear good things about foxfarm and promix, miracle grow is not suggested.
a home made "bubbler" hydro system is cheap and easy search the threads for plans and info, i think there is a video in newbie central forum as well
whew....hop that helps, good luck