I have a small pond as well that was full of GSF, but I did not know this until I stocked it and started catching them a year later trying to pull out some HBG and CC.
I was worried as well since many say they are a pain, but since LMB were stocked in the pond along with BG, I catch very few GSF any more. Plus when I do catch one they are usually larger 6-8 inch fish which are plenty big enough for me to keep and cook up.
GSF make for a wonderful meal and their meat tends to be thicker then my BG so even though the fillet is small it is still a solid piece of fish.
I do however wish I would have moved some to one of the other ponds first before trying to eradicate them. As I have a pond that can not grow much of anything do to being only 3-5 foot deep and plan to turn it into a bait fish pond (at least until we can renovate it) so it will get some use.
Thanks