The offer comes after People magazine reported Anthony is living in St. Lucie County.
Brian Scheuble, co-founder of Go With God Travel in Port St. Lucie, told the Orlando (Fla.) Sentinel: "People are not happy she's here. It is a serious offer to her."
Scheuble said if Anthony accepted the offer, the agency would donate $10,000 in her name to the National Center for Missing and Exploited Children, WPBF-TV, West Palm Beach, reported.
"As a resident and as a person who does business in Port St. Lucie, I feel a responsibility to respond in some way, and this is how I chose to do it," Scheuble said.
Anthony has been in seclusion since she was released from jail after a jury in July found her not guilty of killing her 2-year-old daughter, Caylee. She is serving one year's supervised probation for several counts of lying to law enforcement.