What draws you to each of these (very different) fields? This is really a matter of what YOU will find rewarding as a career, so maybe do up a list of what appeals to you in each disclipine – then decide which outweighs the other.
Aside from this, you also have to consider the likelihood of getting a job in either.
Networking is typically one that’s hired from within, as it requires a bit of catching up that a lot of people don’t want to be bothered with. Web design has a lot of options available, but its also a market that’s over saturated with people who charge $500/hour to slap a PSD into HTML and call it a day.
So, what you need to do is see what opportunities there are in your area, look around else where if need be, and see which one fits your life’s goals more.