I have a similar set up. Ive got a cab that's roughly 1.5ft by 3ft, 5 ft tall. Im in the middle of switching to 250hps, the LEDS just weren't cutting it. Im def getting an air cooled hood. Right now my temps are at like 74-77. Thats with 2 150 cfm axial fans for intake, and 50 cfm for bathroom fan for exhaust. With the 250hps I'll take out the 50cfm exhaust and add a 6in 250cfm duct fan for the air cooled hood, and will just pull in air from the grow room. I'm only dealing with roughly 25 cubic feet, and you can see all the air I will move through the cab, in hopes on minimizing a temp increase.
Ventilation can be tricky, again there's a lot of variables. No calculation will give you the perfect solution. Sometimes you just have to set everything up and go from there. Getting an air cooled light will help a great deal in controlling temp. Remember, at one point that light will be off for a solid twelve hours. So if thats your only heating source in the winter, you may need to consider something else. Your def going to have to go higher than 160. With temp swings like that, I can only assume that it prob gets hotter than you expect during the summer months as well. This summer has been brutal for backroom growers. In my opinion, 400w is a little overkill for that height, 4ft. Lumens intensify as the light is closer to the tips of the plants. I also suggest you SCROG. Again just an opinion.
Is this soil or hydro? Generally soil handles temp swings much better than hydro. When you screw up in hydro, you know it, fast. Very unforgiving.
I cant stress enough, set everything up and run it for a week or so before you plant.