Securing America's Federal Elections Act or the SAFE Act This bill addresses election security through grant programs and requirements for voting systems and paper ballots. The bill establishes requirements for voting systems, including that systems (1) use individual, durable, voter-verified paper ballots; (2) make a voter's marked ballot available for inspection and verification by the voter before the vote is cast; (3) ensure that individuals with disabilities are given an equivalent opportunity to vote, including with privacy and independence, in a manner that produces a voter-verified paper ballot; (4) be manufactured in the United States; and (5) meet specified cybersecurity requirements, including the prohibition of the connection of a voting system to the internet. The National Science Foundation must award grants to study, test, and develop accessible voter-verified paper ballot voting and best practices to enhance the accessibility of such voting for individuals with disabilities, for voters whose primary language is not English, and for voters with difficulties in literacy. The Election Assistance Commission (EAC) must award grants to states to replace certain voting systems, carry out voting system security improvements, acquire accessible ballot-marking devices for voters with disabilities, and design and print ballots. States must carry out postelection risk-limiting audits for all federal elections, funded by the EAC. The EAC must (1) establish mandatory cybersecurity requirements for systems used in federal elections, and (2) provide for the testing and certification of voting system hardware and software.