You can buy either hemp or rape straw, cut down into small bits, as big bagged square bales (you can just about carry them). They are god at absorbing moisture, stay dry on top, not as hard on the wrists/back/knees when mucking out (straw, especially from large round bales will be very heavy to muck out) and will rot down much quicker than straw based muck. If you use wood shavings they will rot down even slower than straw based manure.
Only drawback is cost, but it really depends on your circumstances. With an arthritic wrist I now have to optimise what I can do, and mucking out deep straw beds is just not an option.
Tradenames to look for are "Hemcore" and "BlissBedding".