The best replacement for hamper is bushel.

The best alternatives to hamper are rated as following:
★★★★★  bushel
★★★★  hinder
★★★★  obstruct
★★★  gasper
★  laundry basket
★  basket

Your alternative for hamper is not listed? Suggest!
Speaking about hamper, one probably shouldn't forget about ironing board.

Other search terms related to hamper and their ratings are:
★★★★★ ironing board
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Google Trends

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hamper
bushel
hinder