Eximo :
I would still say the costs aren't in your favor for doing something like this. eGPU docks are usually a few hundred dollars on their own. When you spend more on supporting hardware than the card is worth it just doesn't make sense. Unless you are going with one of those cheap ones.
I would treat it as an interesting experiment but given the cost I would just pick up the appropriate light gaming laptop and then buy a discrete GPU later for the desktop. Assuming that would even be necessary at that point.
You can get an entire 1050Ti laptop for around $800 US, probably a bit more with an i7 and an SSD. What did you spend on the laptop you have now?
In Malta the pricing of a 1050 ti laptop is around 1800 usd with just a 7300hq and no SSD at all. This happens just because people tend to be scared from building their stuff so they just buy things ready. Without mentioning the amount of ignorance in the subject. So projects like these are an absolute breeze price wise.
On the subject of the dock , yes i am doing a custom dock that would only cost about 120 usd to have it near perfect , with everything included.
Thanks for your interest , regards Lyon