There probably is a better way to do what you're trying to do. But I don't clearly understand from your description.
It's true that node handles only snap to other things. You can't snap something else to them. (Actually there was a time when node handles would snap to each other, and I'm not sure what happened during development, to change it.) But I do understand that you want to have a new path match exactly the curve of an exisiting random curve, and you need the node handles to snap, so you can make the curve match precisely.
There is a way to know if you have 2 handles on the same point. But it's getting them on the same point which is tricky. You just have to be very careful with dragging it. Anyway, when you have the handle that you're dragging precisely on top of another handle, the tiny circle at the end of the handle disappears, and instead, you see a tiny filled red dot. And after you release the mouse, the tiny circle of both handles look like they are missing. (I'm not sure if any of that is a bug or not. But I still use it sometimes.)
But getting back to the better way. It's hard to give you specific steps, because I don't see your project. But there are a couple of ways to approach it, in general. One is to duplicate the original path, and then using node editing, remove the parts of that you don't need, which leaves only the part you need. Or there might be a way to use a path operation to create a matching curve.
Regarding Lazur's suggestion -- very clever! I had no idea that those things could be snap targets. When I test, I find the extension works best for snapping to the handle. With the Draw Handles path effect, the handle of the other path wants to snap to the nodes of the handles (which the path effect created). You can't see the nodes (unless you do Path menu > Object to Path), but still, the other handle wants to snap to them. (The same thing happens if you want to snap something to the node which the path effect created.) However, the handle does not seem to snap to the center of the path effect handle.
So for precision, the extension seems like the better choice.
Yes, that could be much faster than making a duplicate path!
(I don't know if snapping to the hidden nodes of the path effect handle might be a bug. I was thinking not, at first. But since you can't snap to the center of the handle, it makes me wonder if it's a bug that you can snap something to the hidden nodes. Or maybe the bug is not being able to snap to the center of the path effect handle? I might consult the mailing list about this.)
Edit
But you still would be welcome to make a feature request or bug report (I'm not sure which one would be correct here) (but you make both kind of reports in the same place, in any case). I think I'll investigate, and try to learn more. So if you don't make a report, I might end up making one myself. I really liked it when node handles would snap together!
https://launchpad.net/inkscapeI'm not sure what Lazur means about "procedural drawing". Do you mean more things like guides, which aren't part of the drawing, but just used for alignment and etc.?