The a/c you use in your 4x4 space is going to have to be big and strong enough to cool down a space that is at least 10x10. Attics are tough environments to grow in, luckily you are in a state that stays relatively comfortable all summer long. I personally love 600w lamps, and you should consider it because you have a very cramped space with very little over head room. You could accidentally burn your plants with a 1000w during the learning curve. The fact that it is only 5 ft tall means your plants cant get much taller than 2ft tall, and a 600w is a more appropriate lamp for plants of that size. 1000w lamps can grow 4-5 ft plants, but you need 1 1/2- 3 feet of of space between your lamp and your plants, usually. Air cool the living shit out of your lamp and add A/C and you will be fine. If you don't exhaust, humidity may be a problem, so think of a small exhaust fan to retrofit onto it, 4" Inline fan or a 6" duct booster would do, but I always have to recommend a real inline fan, you can put a speed control on it. You usually cannot control the speed of a duct booster.
If you are only growing 3 or 4 plants, the smell may not get strong enough to leave the attic and enter the streets, but if it is a fear for you, hydrofarm makes a little baby carbon filter for like 80 bucks. There is always DIY ways of doing it, which are fine, but I just want it done right, and I want it done the first time, so I'll pay a little extra.