"Any other ideas?"
boymeetsweed it should really come down to what type of high/stone you want, then look for strain options that fit your growing criteria. All you've told us are your growing limitations and that's the information most of the breeder strain descriptions give, and not enough on what we are really interested in - the high, the stone, the flavor.
Like happyface said:
White Widow - get a good breeder's version and you'll be happy. Fantastic strain and not too hard to grow. Can't go wrong if you get decent genetics.
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Blueberry - classic long lasting euphoric stone.
Northern Lights - great long lasting stone.
Cheese - uplifting, no ceiling, high.
If you go to a seed bank like Attitude you have a good chance of getting great genetics regardless of the breeder, and there are icons to show you cup winning strains.
My advice would be to: pick at least two types of high/stone that you want; pick the strains that fit within your growing limitations; buy feminized; look at the picknmix section (single fem seeds) if money is tight; and consider autoflowering since it is your first grow and you are growing in a closet.
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Darkness
Take: a joint, a drink, and a luminous watch; sit in your closet with the lights out in your room; smoke the joint, drink the drink and in 15 minutes or a half hour see if you can make out any shapes. The absolute darkness you thought you had when the closet door closed is probably maneuverable now.
You need absolute darkness for 12 hours to flower most strains, if you don't have it you could get hermies, slow down the flowering stage, get less potent weed.
You will also need good ventilation in the closet with the door closed as an HID light will heat it up and cook your plants.
If the height of your strain gets away from you while you're learning the basics you could have a lot of extra work bending the stems to fit under the light, or lose yield/potency.
We all learn this during our first grow and a lot of us scrambled to fix the problems as we see the results in the plants. A short autoflowering plant will make your first grow much easier, more enjoyable, less stessfull, and give you a much better chance of getting some decent weed the first time out.
Thats all I've got to say about that.