Scott,
If the rug is in paper or Tyvek and all the seams are taped, there's no place for bugs to get in. Mice might chew their way in, but there's no attraction for them.
Side note:
The 27 year stored rugs belonged to the family that started UPS here in Seattle. They had "retired" to start a charitable foundation, no longer needed a mansion, but wanted to keep their valuable rug collection. A law firm working for the family finally asked the heirs about this long-term storage; they were pretty excited to find their 'lost' rugs.