Similar problem to aviate's here. Fat Albert pigeon would squat inside and gobble all the seed put out for the small birds. Strung some twine around all access points which caused FA to re-evaluate his landing somewhat quickly aborting at the last moment. Luckily I had my camera ready . . .
FA spent about an hour trying different approaches before giving up. Managed to get a whole sequence of shots. Well, I'm retired now and it
was fun.