I do not think the fact that you receive SSDI per se will hamper your owning a home; however, you will need enough monthly income to "qualify" for your mortgage.
If you have enough monthly income (and any needed down payment) to "qualify," you can likely purchase a property. Remember that condos also have monthly condo fees and those figure into the monthly payment (in addition to the mortgage) when financing a condo.
In my state, we have a "Land Trust," which sells properties for less than their market value; yet, when you sell, you must share a portion of your home equity profits with the Land Trust. This makes homes more affordable to those needing affordable housing. You might be interested in whether your state has a similar program.
I hope your dream of owning works out for you!
WC