Unfortunately rent is driven by demand and location not age or income. There are those seniors who have other means of income i.e. investments, pensions, annuities, etc. in addition to their SS and can afford to pay the piper.
If that's all you have to work with you will have to lower your expectations about where you want to live. There are places in the Victorville, Apple & Lucerne Valley and Barstow areas that may be a better fit for your limited income.