I've done both.. lived very rurally without, and now in a different place with a wonderful partner.
you can do it, it's great to be self-sufficient, but think about your skills/personality/resources..
are you the kind of person who can fix stuff or can use a manual to fix leaking pipes, repair stuff, etc.? or do you have hopefully income to spend for these needs when they arise? or skills to barter with neighbors who have those inclinations?
that was the major nightmare for me living singly (and i know there are couples in which both partners aren't handy in that way, too, and certainly not to imply that one's partner has to be the handy one, that's just how it worked out for me personally)..
i had two big dogs to protect the property and me and i also had a gun.. that, i think is another necessary thing to think about- whether you feel safe or feel that you are willing to protect yourself or how you will do this..
Health-wise, you will want to be comfortable knowing you'll be far (i assume) from medical help, so either be willing to learn or know what to do in emergency health situations. That is pretty important, too, and not necessarily a single-parent situation, it's just a rural living situation to think about. If your kids are older, they can be responsible for taking steps in an emergency, too.
I will also say that if you're seeking, it is VERY difficult to meet someone.. unless you live near a town where you can cavort freely. i didn't meet my dh till i moved to a town, but hooked up and moved back to the country..
It's great to raise your family rurally, all other things aside.
for me, boredom = loneliness. you will probably not be bored. there are always things that need doing, especially in the winter. then it's more of a repair things, mend and make things mode.. catching up on reading and quality family time. living rurally makes you learn and practice all kinds of hobbies..