Transportation Alternatives Enhancements Act This bill revises the surface transportation block grant program (Transportation Alternatives Program) of the Department of Transportation (DOT). The bill requires DOT to set aside 10% of apportioned funds under the program each fiscal year for states, and allows states to allocate funds to counties, metropolitan planning organizations (MPOs), regional transportation planning organizations, and local governments. Funds may be used for certain projects or activities, including the construction, planning, and design of infrastructure-related projects and systems that will provide safe routes for nondrivers, such as children, older adults, and individuals with disabilities, to access daily needs. MPOs that serve an urbanized area with a population of 200,000 or fewer are eligible for funding under the program. The bill also adjusts funding limits for states to improve the ability of applicants to access funding in an efficient and expeditious manner.