Paresh Kamalakar Mesta (19) had gone missing on December 6. His body was found near a lake in Honnavar in the district on the night of December 8 under mysterious circumstances.
Sirsi and Kumata towns in the district have been hit by violence since then.
Mesta's family and local residents have alleged he was abducted andkilled amid reports the body bore marks of attack bysharp objects.
The BJP has blamed "jihadi elements" for Mesta's death, while Chief Minister Siddaramaiah has accused the saffron party of using the incident for "political gains".
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The party has been saying that nearly 15 activists of the Sangh Parivar and pro-Hindu organisations have been killed in coastalKarnataka and elsewhere in the past a few months.
Speaking to reporters today, senior BJP leader and Lok Sabha member Shobha Karandlaje accused the Congress party of "shying" away from a National Investigation Agency probe.
Rubbishing state Home Minister Ramalinga Reddy's claim that Mesta's death was not mysterious, she said he was ignoring eyewitnesses account that the victim's face was blackened.
The BJP leader claimed the involvement of Muslim outfit Popular Front of India in the death of Mesta.
"Investigations have shown the involvement of PFI behind the murder of RSS worker Rudresh (early this year) and other leaders in Karnataka and Kerala. Why is the government soft on PFI and not banning it," she asked.
Karandlaje dismissed Reddy's charges that she and other BJP leaders were responsible for the riot-like situation in the coastal belt.
"We are not giving any inflammatory speeches. All that we want is an NIA probe into the matter," she said.