I have CMT 2, and I have tried to continue hiking, on level ground, for as long as possible. I use two poles as my balance and awareness of where my feet are are both very poor. It is my understanding, and I have tried to convey this, that you cannot exacerbate CMT through sensible exercise. Exercise to the point of exhaustion, however, is not advised, and may cause a flare or injury just as it would in other people. In the past year I have lost a lot of ground, however, and seldom walk any more. This cold winter has also made me a shut in.
If it is CMT, you will also not slow progression through exercise, although you may strengthen the unaffected muscles.
In short, you cannot really hurt yourself and may help yourself through exercise, especially as you seem conditioned to it.
If you have sensation in your feet, and a good sense of balance and can tell where your feet are ( yes, in more advanced cases of PN it is possible to fall over because your feet got tangled up while you were sitting. It happens quite a lot to me.) you are probably fine with the level of exercise that you are used to. There is no reason implicit in having PN or CMT that you should cut down your level of activity. Doing so may result in weight gain which will stress weakening muscles more than exercise.
You will have to learn to let your body be your guide in deciding how much is enough and when to rest. Sufficient rest is very important, and you may have to learn to balance out your life more, I believe you mentioned an active social life so if you are a "burn the candle at both ends" kind of person that will not be best for you.
I just want to reassure you that continuing the level of physical activity that you are accustomed to is not going to affect you as much as you seem worried. You can go by how you are feeling.
If you have limited sensation you have to be more careful, but I have not seen you mention that.