OP,
as for your question of will it work, i am doing exactly what you are describing and i can tell you what i have experienced and you can pull what useful bits of info you can out of my experiences. it sounds to me like your roughly close to the same area as I, as your temperatures during winter are consistent with mine, so this may be a bit more spot on for you than it will for others.
first i would suggest a closed system pulling air from outside.. through the lights.. and back outside of the grow area. with growing in the area you are wanting to, your going to be battling HUGE heat issues. you should invest in a portable a/c (hit craigslist.org... you can find them for about 150.00 used.) as your plants will thank you later. so far we have:
-closed loop light cooling
-portable a/c
depending on how many you are planning on growing at once, i have found that light movers are a LIFE SAVER! i run 1k lights (no idea what your planning on going with).
took a saw and cut hole in roof of shed... put one of those whirly bird vents on top of the shed.
now if your exhausting into the shed area to try to keep the noise down, passive intakes on the floor of the shed as well as that whirlybird on the top will be able to exchange air in that shed well enough to keep it cooler than if it wasnt vented. even though your running a portable a/c, i would still suggest a small (6") passive intake somewhere in the room. i see people on this site saying no no no it must be sealed and blah blah if you have an a/c, but that is a load of crap. i have insulated the walls, and ceiling of my shed with r-19 insulation and may recommend some sort of insulation for your box even if it is just the foam board stuff. it will help! with this set up, i run 2k in lighting with ballasts mounted near ceiling. passive intake hole as well as dual hose portable. carbon filter on ceiling with 250cfm can fan re-circulating air in the room. this thing is right out my back door and i never smell a thing unless i open the door.