You should be good with that space with a 4" fan, air exchange should be more than fast enough. Even better since you have a space to exhaust into. If you for any reason run into heat issues you may want to look at a cool tube reflector.

I would outake to a carbon filter in the crawl space. If you can put the fan and a duct muffler and a carbon filter in the crawl space and have nothing but your light and a circ fan in the space. Simalar to my closet, but a trap to the attic. Good Luck, Homework pays:clap:
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your 250 be a about right for the area. Just be sure venting good and use a cool tube for sure. You could get the led, but a bit expensive. with mixed results, I wont get into that debate.
As for mh or hps, mh veg, hps flower. Or can run t5 veg as well. But again if have a 250 use it. Watch temps don't over water, and enjoy.
stoking, glad to have you here brother.. Haven't seen you post much but with help like that I look forward to seeing more from ya.