If the sealing surfaces in/on the neck aren't in too bad condition, then perhaps some wet or dry sandpaper might smooth things up. But I'd remove the radiator for the work and then flush it out well to remove any grit and particulate.
There are two sealing surfaces. One on the very top of the neck. And the other is down inside the neck.
If you haven't checked your thermostat at this point, I'd do it. I had a coolant hose to one of the heads on my ST blow out in the middle of rural Oregon once. At the time I replaced the hose while on the trip and I got home though the coolant seemed to be running hotter than usual. Still within the normal range, I made it home fine.
I then decided a complete freshening up of the cooling system was in order and when I pulled the thermostat off the bike, I found the reason for the overheating. The little swaged ring that attached the valve to that plunger thing that presses on the valve and opens it had failed. What happened when it failed was that the plunger thing could no longer press against the valve to open it and since the engine was running, coolant flow kept the plunger shaft in the center of the now closed valve, effectively blocking all coolant flow except for through that tiny bypass hole that's in every thermostat. The engine overheated, blew the hose and that was it. When I shut the engine down, coolant flow stopped and without anything to keep the plunger in place, it fell down inside the thermostat housing. Then, after I replaced the hose and buttoned everything back up, there was just enough flow through the center of the closed valve to keep the engine in the proper operating range. It wasn't until I went through the coolant system that I discovered the reason it overheated. Once I saw the reason, I went searching for the broken piece and found it by turning the radiator upside down and flushing it out with a hose.
So, it's possible that you have a thermostat problem. And if you're going to the trouble of getting to it, replace it with a new one. Even a thermostat that looks good can still be bad.
I'd try that before fooling with the radiator.