I think the greatest downside of strawbale is that it's some form of a cavity wall that at some point will host bugs and rodents which is unacceptable to me. If there is a place for pest to live in, they will find it, no matter what preventive steps are taken. Nature is powerful and merciless.
https://permies.com/t/113626/Straw-Bale-Don
Strawbales were originally used in western Nebraska, which is drier and sunnier than the rest of East and Midwest and i think it's best fit for such climate.
Where are you located?