if your grow room is in a room that can be dedicated to the grow, i.e noone is in there while it's lights off, then you could get away with having it open, that'll sort out temps. but if it's in an enclosed space, you WILL need cooling for that light. i live in a rented place, didn't stop me cutting a hole or two, it's nothing that i can't professionally patch over without much hassle.
how large do you plan on flowering the plants? as 6 plants ina 3x3x3 space is gonna be madess unless you do some damned good work at trimming and such. i flowered mine at 1 foot tall and they grew a further 4.