"So in other words, instead of including the next 1/3 of that distribution next year just include the balance of that distribution that's leftover?"
No. Your only choices will be to include the entire amount on your 2020 tax return or to apply it in 3 equal parts on your 2020, 2021 and 2022 tax returns via Form 8915-E. This is dictated by section 2202(a)(5) of the CARES Act.
