It is ironic that closing up your compost because you don't want the smell is precisely what is causing the smell. You can compost in just a heap - a little pile of stuff in the far corner of your yard. If you want to confine things a mesh walled container with no floor lets air in and liquid can drain away. If you are worried about varmints, a mesh or slatted lid can keep them out.
At a minimum, make a bunch of holes in your garbage can - in the bottom to let the liquid out and in the sides to let air in. Aerobic composting smells musty and earthy. Perhaps not entirely pleasant (it's not like chocolate, coffee, baking bread, fresh roses) but not disgusting. Our bodies reserve disgusting for anaerobic decomp - sliminess, sourness, acrid smells. So if your compost smells wrong, get more air to it.
The other thing with composting is to ask yourself why you are doing it. Are you trying to make fertilizer for a garden, or to reduce the amount of garbage you send to the landfill/incinerator? Which is the primary motivation? If the latter, don't get too worked up about greens/browns, balancing things, adding stuff just for the sake of the composter etc. In our mesh bins (scaled down versions of the bins from the Victory Garden book) we put peelings and the like from the kitchen, carrot greens and other parts of plants we don't eat, weeds we have just pulled, and fireplace ashes when we happen to have emptied the fireplace, all without a plan: just as stuff becomes available, it goes in. We have never (20+ years) measured its temperature or chemistry in any way, unless you count smelling it. The only turning we do is that described in the book - you take compost from bin 3 whenever you need it, and when bin 3 is empty or bin 2 is full, you turn 2 into 3. Meanwhile when 2 is empty or 1 is full, you turn 1 into 2. 1 is where you add new stuff. Sometimes we toss a little dirt (or bin 2 or 3 contents) over the top of 1 if it's smelly.
This super hands off approach works great for us. We get compost for rhubarb, the veg garden, and the flower beds. We throw out almost no garbage. And we don't fuss about our compost. If you can adopt something similar, I think you will prefer it to a single closed bin that needs babysitting and looking after.