I didn't move my first broody hen last year. that was a big mistake, the other girls destroyed the pen we put up around her, they tore it down and got in anyways. I tried to move her into a smaller coop by herself and she refused to get back on the nest. I had to put her back in the other coop and I regret not moving her earlier on. Lost 3 eggs and the 1st to hatch just disappeared and we never found it. when my WJG went broody in March I gave her like 3 to 4 days to collect some eggs. I decided i would move her early. I put her inside the garage with golfballs under to be sure she would stay on the eggs. She did thankfully. She hatched 3 little babies sadly one died but the other 2 are very healthy and beautiful little babies. So I say to move her and hope she stays on the nest. I put Missy in a big wicker basket so it would be close to the size of the nesting box she started out in and it worked. I plan on using the basket as often as I need it.
good Luck and I hope you get lots of fuzzy butts.