You can maybe start from this:
docs.limesurvey.org/Workarounds%3A+Surve...dit_completed_survey.
I was thinking something like:
- set the survey to "Enable token-based response persistence"
- ask you question
- [?] go to the next screen
- show a link that will include the data you want to pass on
- apply the workaround i linked to above.
Important: the workaround claims to create tokens, you may need to adapt it for token attribute fields
- upon clicking the link the respondent should now reload the survey with updated token attribute fields