Going to be really "harsh" with you here OP. Because you're not addressing the issue, just trying to fix it with a weird temporary solution.
I appear to be unable to pull at the grand old age of 35.
Agreed, it's not your age. That's no age at all to meet someone.
I am highly successful in my job.
What does this more accurately reflect as? You are career driven and work long hours and maybe relationships have suffered because you're in the office so much? Are you very successful and some guys are intimidated by this. Again, not a criticism, just trying to gain a bigger picture insight.
I am active.
Most people would like this.
Overweight, but I have a pretty face.
This (sorry but it is the truth) will massively affect things. Like it or not, people are physically attracted to their partner. And most are not attracted to overweight, from both the appearance aspect, and the health aspects that can arise. Of the couples I know, where one/both are overweight, they all were much slimmer when they met, and it's gradually happened. Of the four divorced couples I know, the 8 people in question, 5 have started new relationships. The other 3 that are definitely looking for someone but haven't found anyone, all 3 are overweight. Like it or not, this isn't coincidence. I'm sure someone will be along very soon to be hyper offended by this, and "love thy curves" and of course, yes, but it still doesn't change that it's a hindrance in the world of "meeting someone"
Two adorable children.
Are they? My DTwins are the best things ever. To me. Would someone else want to take on twin toddlers? Yes, they're beautiful. They also yanked the TV from the unit yesterday. They take up a lot of my time. They are hugely dependent. The concept of a potential stepfather role, is usually what people are happy to accept, as opposed to actively look for. Ask yourself, would someone rather date you, with two children, or without. If your DC are very young, again, like it or not, this might be putting people off, and you'll find you suddenly have a lot more success in dating when they are a few years older and less immediately dependent.
Skills and hobbies out of my ears.
What sort of things? Could you get more involved here and meet someone through a combined interest?
I volunteer.
Nice.
And yet, every relationship I've ever had has been at best neglectful
Look into this more. Why do you think this is? Are you a people pleaser and feel deflated in return. Do you have really high expectations? How did things manifest that you describe as neglectful? Where did you meet the people who have been neglectful? Online dating, or a variety of places? Are you looking in the wrong place?
Sorry if that was a tough read. But if it's really bothering you, I think you need to examine the whole situation and look at why things may have happened.