In addition to or in lieu of any non-mandatory sanction imposed as part of a sentence or as a condition of probation, a judge at the time of sentencing may order restitution which may be in the form of monetary payment or some type of community restitution. Provided, that any person sentenced to a period of incarceration at the adult correctional institutions shall be ineligible to participate in those programs established pursuant to chapter 8 of Title 13, § 42-56-20.2, 42-56-20.3 or 42-56-21, unless and until the restitution has been paid in full, or satisfactory arrangements have been made with the court if the person has the ability to pay. Any agreement shall be in writing and it shall be the burden of the person seeking to participate in any of the programs to satisfy the appropriate authority of compliance. Any person subject to the provisions of this chapter may request an ability to pay hearing by filing the request with the court which imposed the original sentence.