14 points is rough. You have a few good options. The thing with 2, 10, 201 is none of them are really managed for deer quality. They are managed for elk quality. The low tag numbers are a result of low deer herd numbers. As for the statement, you can shoot a 180-190 with hard work and some luck, that can be said about every single unit and hunt in CO that I know.
Like I said unit 201 is cool and the reason to deer hunt it is not for trophy potential, but for solitude and low pressure from other hunters.
When deciding your unit consider all things, what type of hunt do
You want? In unit 201 there is not much of the unit that is not easily accessed by vehicle. It is great for glassing, but with the road and trails structure it is not hard to hunt. There is limited private so it has really good access and minimal access issues. It is lower elevations no alpine hunting. Cold Spring Mountain is a giant sage and stunted growth covered feature on top and north slope with some service berry and mahogany mixed in. South slope of cold spring is steep, hot dry and thick. Rocky with pinons. Diamond peak a large cone shaped mountain with some south slope meadows minimal aspen and dark timber on the north side. There is a smaller peak as well just to the west, forget its name... some river bottom area along the Green River and Brown Park...
It would be a cool hunt because you will be there in the elk rut and the elk activity might make the deer hunting worth it...
Make a list of what you want. I am not sure the point requirements for other hunts, but in your list look at how you want to hunt. Time of year, early muzzy hunting in T-shirt's, late hunting deeper snow, do you want to hunt deserts open country, above treeline, large aspen stands, pines? Rut hunt? With your points there are many options. Do you want to camp at your truck? Back pack in? Etc. get all of that sorted out comeback to the forums and and ask for suggestions using you hunt criteria... Hard to recommend any unit based just on deer size...