Find a local facility that boards cats or even "at-home cat care" from a kitty sitter on this page. Example:

Q: How would I find boarding for cats near Tallahassee, Florida?
A: You can find a list like this: Kitty Sitters / Boarding > Texas > Austin

Q: I'd like to find a professional cat sitter in Oklahoma.
A: You can find nearby pros here: Kitty Sitters / Boarding > Oklahoma

Casper
Popish Veterinary Clinic, 3155 Cy Ave, Casper, WY 82604; (ID #1105), call 307-234-7333; located in or near Natrona county  (see map)

Cheyenne
K 9 Kennels, 310 W College Dr, Cheyenne, WY 82007; (ID #764), call 307-635-5273; located in or near Laramie county  (see map)

Gillette
Animal Medical Center of Wyoming, 200 E Lakeway Rd, Gillette, WY 82718; (ID #147), call 307-686-7716; located in or near Campbell county  (see map)

Riverton
Riverview Veterinary Hospital, 4470 Riverview Rd, Riverton, WY 82501; (ID #1157), call 307-856-7181; located in or near Fremont county  (see map)