Hillsborough County sheriff’s are deciding which company to pick to treat sick and injured jail inmates. … So far this fiscal year, which began on Oct. 1, the sheriff’s office has paid Armor nearly $17.6 million for its services, jail records show. That doesn’t include a claim in which the jail was forced to settle in the death of an inmate two years ago. The inmate had suffered a stroke and was misdiagnosed by an Armor nurse. … Some of the other companies bidding for the Hillsborough jail job, which is for a three-year term with options to extend it to five years, have similar pasts to overcome, according to public documents and published reports.