Residents of the apartments had complained that someone had been peddling subscriptions to the newspaper where a 73-year-old man was murdered just a month ago.
The victim, Trueman Brown, was found stabbed numerous times and with his throat cut.
Police officers have reported no significant leads in the investigation.
Treviño said residents of the complex, most of whom are either elderly or disabled, are still jumpy a month after the murder.
“People are spooked,” the chief said. But investigators believe Brown was specifically targeted and that he was killed by someone he knew.
“We don’t believe it was a random act,” Treviño said.
The chief has spoken with Beeville Housing Authority Executive Director Viola Salazar and she has said she is unaware of any major issues at the apartment complex.
“There have been no burglaries,” Treviño said. He said police department dispatchers have taken only five or six calls from the complex since Dec. 19 and most of those have been for ambulance runs.
Bee-Picayune employees issued a statement saying that no one from the newspaper had been selling subscriptions at the complex.
Bee County Crime Stoppers had increased the original reward offer of up to $1,000 for information leading to an arrest of a suspect in the killing to $5,000.
But the organization had placed a 30-day time limit for the higher figure.
Treviño said he is hoping someone who knows something about the murder, who might steer investigators toward a suspect, will provide a tip eventually.
Investigators believe the killer went to Brown’s apartment just to commit the murder. There was no sign of a struggle and it appeared that the victim was initially attacked from behind.