Gave in and TTed a few days forward to stop someone from moving then TTed to December to catch a dung beetle which is the last bug I needed. TTed back to present day.
TTed forward a couple days to stop someone from moving again. TTed forward to March 17 to get a Shamrock Hat as well as to catch a loach and spider crab, which are the last I needed to complete the fish and diving collections. TTed a day forward to stop someone from moving. TTed back.
So now I have three more gold badges and a complete museum!