Blackmon spoke to media and about 30 residents of the Ridgeland Pointe Assisted Living Community Monday.
She said if elected in November, she would immediately begin working on legislation that would let Mississippi join with other states and buy prescription drugs at a bulk rate to save money.
She says New York, Maine, Massachusetts, Connecticut and five other states are already involved in such programs and are seeing savings of 10 to 40 percent.
Blackmon says the program would help eliminate some of the deficit in the next legislative session.
The state is already working with seven states including Louisiana and South Carolina in a similar program that cuts costs for Mississippians under government insurance plans.
Blackmon's proposed plan would include all residents.
Blackmon faces former Supreme Court Justice Jim Roberts and businessman Troy Brown in the August 5 Democratic primary.