I wouldn't worry about the dog catching the little ones. Last year 2 of my Springers tried for almost an hour to catch one to no avail. Once they got close the goslings dove under the water and popped up 30+ feet away.

A 600 fps pellet rifle will do the trick if you can put the pellet at the highest point of the goose!

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3/4 to 1 1/4 ac pond LMB, SMB, PS, BG, RES, CC, YP, Bardello BG, (RBT & Blue Tilapia - seasonal).