Health Insurance Premium Stabilization Tax Credit Act. Establishes the Health Insurance Premium Stabilization Tax Credit Act, through which a qualified taxpayer, defined in the bill, shall be allowed a refundable income tax credit for taxable years 2026 through 2030 in an amount equal to such taxpayer's certifiable premium. The bill provides that the Health Benefit Exchange Division of the State Corporation Commission shall determine each qualifying taxpayer's certifiable premium for each taxable year in which such taxpayer may claim a health insurance premium stabilization tax credit and shall annually report such amount to the Department of Taxation. Such amount, with respect to any taxable year, shall be the sum of each coverage month's premium balance across all coverage months for such taxable year, as described in the bill.