The suspects were identified as Samuel Ogando of KDF, Nelson Kasera of the DCI headquarters and Joseph Mulwa.
The body of the 57-year-old soldier, who was dressed in civilian clothes, was discovered by residents before they alerted police.
Major Emmanuel Welime said the free medical camp offered services including general consultation, cervical cancer screening, dental care, eye treatment and management of NCDs.
KDF, in a statement issued last Frida,y stated that the recruits developed medical complications while participating in a routine endurance exercise.
Three KDF recruits die after developing medical complications during a training exercise in Eldoret, investigations into incident launched, KDF says.
The government has deployed additional security forces to safeguard the construction of the 740-kilometre Isiolo–Mandera highway.