Ok lenght depends on the type of ski and on your weight, mostly. SL skis come in shorter lengths than GS skis. Your weight gives you a stating point for any ski you decide to get. The ski comes in various lengths, and skiers come in various weights. Since you weight 175 wich is just on the high end of average, you should pick a ski that is just on the high side of the middle length, or right in the middle if there are an odd number of lengths that the ski comes in. Next, adjust for speed: if you ski a lot slower than your average bear, go down a length, if you ski a lot faster, go up a length. For example, the Head i. Supershape Magnum Magnum comes in lengths of 149,156,163,170 and 177 cm. Middle length for that ski is 163, but you ski slowly so get 156. Another example, the 2016 Head i. Supershape Titan comes in lengths of 156,163,170 and 177, the high side of the middle is 170 cm, but you ski slow so for this ski you would want 163.
Now what to choose, I recommend you choose a narrow ski with a turn radius of between 11 and 15, since you haven't decided if you prefer short turns or long ones, but ski slowly which favours smaller turns, and pick the length as described above, once you pick your ski.
I also recommend that you pay for a subscription to real skiers reviews, and make a list of suitable skis from the reviews that go back quite a few years, then look for them on sale. Note the reviews for models from 2012 and earlier were better in that they had symbols for type of skier (beginner to expert) the ski was suitable for and include speed ranges for the skis performance envelope, thus making it easier to choose a ski that would suit you now and that you wouldn't outgrow. There is no reason a four or five year old ski wouldn't do well for you.
Voodo SC80 in a 160 would be pretty good for you, just a little on the wide side for hard groomers imho, but great if those groomers get a lot of snow, if you are a woman.
The x-wing 6 is too much of a beginner ski for you imho.
From your description it sounds like you are forcing your skis around to turn, instead of subtly instructing the skis on what to do and letting them turn you around. I recommend you take a few lessons, learn how the skis actually work and stop fighting the skis.
Best of luck finding a good boot fitter to get you into a pair of well-fitting boots.