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Without using any child support income, your debt to income ratio would be pretty high on a $145k sales price - around 56-57%. An underwriter would be hard pressed to qualify at such a high debt ratio with lower credit scores.
How much is the child support income and how long will it continue for? In order to use it to qualify you must receive it for the first 3 years of the mortgage.
FHA financing needs a 3.5% down payment. Conventional needs a 5% down payment. Kentucky has a state housing agency that can help with down payment assistance - http://www.kyhousing.org/page.aspx?id=297
However with a USDA rural housing mortgage you can do 100% financing, but need to purchase in an eligible area. You can check which area are eligible at http://eligibility.sc.egov.usda.gov/eligibility/welcomeAction.do?pageAction=sfp&NavKey=property@11 ... there is also an income limit which the total household income can't exceed, that amount varies depending on what county/area you are buying in, but the lowest limit in Kentucky is $74,750 for a household size of 1-4 people.
What were the balances/limits on the credit cards before you paid them off?