Wouldn’t shooting them into Jupiter be the easiest?
I’m sure I’ve read a few things about what an impact that big bugger has on trajectories in our solar system.
Intuitively I feel like a push towards Jupiter would be easier than a push to get all the way out of the solar system avoiding Jupiter.
The sunk cost fallacy is a very easy way to get stuck being miserable.
Sometimes a drastic change might be painful at the time but will be much better for you overall.