Finishing garage ceiling

[Daaave]

My garage ceiling is unfinished right now. A little over half of it is finished, however the area near the front of the garage is not. It is about 7' in length from the finished ceiling to the garage door (It slants down towards the garage door), and around 30' wide.

There isn't much venting at the moment. All 3 of the unfinished ceiling walls slant directly into the wall stud, so there is no room for a vent. There are also no soffit vents nor an easy way for me to install them.

What is my best course of action for finishing this ceiling? I was originally thinking of drywalling the ceiling, adding some R30 insulation (I'm in LA), and putting an access panel in the new ceiling so I can check on it occasionally. I am afraid that since this will be unvented, that will be a bad idea. The other options I see are to add some sort of insulation just between the ceiling studs, and painting the rest of the exposed studs white so it has a finished look.

Thoughts? I'd like to keep this within some sort of reasonable budget, and hopefully avoid installing vents in the roof (I will if I have to though). I'm guessing this will mean I can't drywall the ceiling, but I'd love any input you have.

Here's a picture of what it looks like. Ignore the mold on the studs. I've cleaned that up already and sealed the wood with Concrobium spray.

 

[mechanic217]

What caused the mold issue? venting the space may be needed to prevent future problems, why not use a roof vent?.

 

[Zeke]

Just to get the terminology right, there are no studs in the pic. The flat are joists or ties (depending) and the angle are rafters. Not much meat on the rafters to nail up backed insulation. For now I'd just lay kraft backed insulation rolls across the joists. You have options on how to finish it off. My preference would be some 2 x 4 recessed lights framed in between, some blocking and 3/8ths drywall. You could use paneling up there, or suspended tiles in a grid. Leave access as you said. Venting the above part is not mandatory but one of these would be all you'd need:

 

[edcantu9]

Zeke is right.

 

[Major Woody]

You need ventilation.
Easiest would be mushroom vents cut into the roof and soffit vents cut into the blocking or the soffits (depending on whether you have finished soffits).

Can't enclose that space without venting.

 

[47powerwagon]

or put a spinner on top