With a 350k income, you're well-positioned to purchase a home in Kentucky. Financial advisors recommend spending about 3 to 4 times your annual income on a home, suggesting a budget between $1,050,000 and $1,400,000, depending on factors like your down payment and existing debts.

In Louisville, the median home price is approximately $220,000, which is below your minimum affordability range. This situation opens up a broad selection of homes, potentially allowing you to consider higher-end properties or homes in better neighborhoods.

Other areas such as Lexington and Bowling Green offer competitive pricing at around $200,000. Kentucky's property tax rate averages 0.85%, adding roughly $1,870 annually on an average home. Coupled with a cost of living below the national average, your income provides ample opportunities for homeownership.