This question is a bit confusing, but I will do my best to answer. I am not certain what you mean by "monthly payments." If this is victim or restitution fees, court costs, fines, or other matters related to your sentencing, you are likely to be released, but the remaining fees will be referred to a collection agency. It is possible too that your parole could be extended until unpaid fees are paid in full. If this is costs associated with your parole, such as supervision fees, tether fees, or vehicle equipment installation cost (breathalizer), you may be required to pay them before you are released. The reference to "full time date" has me a bit thrown. If by this you mean your conditional release date, the date your parole is projected to end, well nothing is certain. If by this you mean the discharge date of your original sentence, this is a bit more certain, and to have parole extended beyond this date, the parole officer, potentially the parole board and State's Attorney General would probably have to motion the original sentencing judge or the supervising judge of the court in which you were sentenced to extend your sentence. The simple solution is to pay the debt and avoid the mess altogether.
Equity release is a term used to describe cashing out the value of your home for a lump sum or monthly payments. This is also often referred to as a reverse mortgage and is typically used by those in retirement.
Only if your student loan agreement has a "co-signer release" clause that permits a co-signer's name to be removed after such a short period of time and/or a specified number of consecutive on-time monthly payments. Usually co-signer releases will be considered after 24-48 consecutive monthly payments and that the borrower's credit is good enough. There may be other restrictions as well. If there are extenuating circumstances to request an earlier release, check with your lender.
Louisiana - 1919 was released on: USA: 20 July 1919
Louisiana Hussy - 1959 was released on: USA: April 1959
Louisiana Hayride - 1944 was released on: USA: 13 July 1944 USA: 1 March 1949 (re-release)
Monthly Visitor - 2013 was released on: USA: 1 June 2013 (ConCarolinas)
Louisiana Lockdown - 2012 I was released on: USA: 1 June 2012
Go Coast Louisiana - 2012 SW Louisiana 1-4 was released on: USA: 7 June 2013
Geek Monthly - 2008 TV was released on: USA: 27 December 2008
Texas Monthly Talks - 2003 Best of Texas Monthly Talks LBJ 3-6 was released on: USA: 2005
3 Easy Payments - 2007 was released on: USA: 11 January 2007 (limited)
A Louisiana Ghost Story - 2012 was released on: USA: 9 April 2012