Shining Rock is also called the flying goose by Franconia residents. Take a look at it from Franconia sometime and sure enough it looks like a goose with its neck stretched out in flight and its wings on the downbeat.
Three Ponds Trail near Stinson Lake in Rumney NH is a nice flat trail with good views especially from the ponds, You can do a loop taking the Donkey Hill Cutoff Trail to Mt Kineo Trail back to the parking lot.