The distinction between twee and naff is quite subtle, for those who dont use the words regularly.
I have been to the occasional "Family Fun Day"(UK term, I dont know what that would be called in America).Face-painters and people making animals by twisting balloons are naff, but not necessarily twee. If there are little children doing Irish dancing in costumes with shamrocks or Celtic patterns sown on by their mothers, to a recording of a ceili band: that is twee. If there are teenage children in "modern" clothes doing Riverdance-style Irish dancing, to music involving reels played on top of a heavy dance beat, than that is naff.
    The song "Puff the Magic Dragon" is 100% twee and 100% naff.
Is that a bit clearer?