Drone Infrastructure Inspection Grant Act This bill establishes programs within the Department of Transportation (DOT) to support the use of drones and other small, unmanned aircraft systems when inspecting, repairing, or constructing road infrastructure, electric grid infrastructure, water infrastructure, or other critical infrastructure. Specifically, DOT must award grants to state, tribal, and local governments; metropolitan planning organizations; or groups of those entities to purchase or otherwise use drones to increase efficiency, reduce costs, improve worker and community safety, reduce carbon emissions, or meet other priorities when carrying out inspections, repairs, and construction. Grant recipients must use domestically manufactured drones that are made by companies not subject to influence or control from certain foreign entities, including China and Russia. DOT must also award grants to certain institutions of higher education for training students for careers using drones and related technologies.