The best replacement for cockroach is beetle.

The best alternatives to cockroach are rated as following:
★★★★★  beetle
★★★★  waterbug
★★★★  palmetto bug
★★★  weatherman
★★★  cricket
★★  bed bug
★★  roach
★★  water bug
★  wood roach
★  mouse droppings
★  cockroach
★  palmetto
★  mantis
★  algebra
★  lobster
★  shrimp
★  earwig
  june bug
  stink bug
  water beetle
  american cockroach
  silverfish
  termite
  ground beetle
  cicada
  bug
  wasp
  woodlouse
  german cockroach
  click beetle
  tv weatherman
  grasshopper
  bedbug

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Google Trends

Scale is based on the average worldwide traffic of cockroach in all years. Click on graph for more.
cockroach
beetle
waterbug