You would need to handle this at your end, there is no out of the box solution in QuickSight.
Based on the volume of CUR data that you have :
1/ I had responded previously with a possible workaround : Setting data retention period on incremental refresh dataset? - #6 by Giang_Nguyen
2/ Create a table in your backend which holds the required data , setup a full refresh schedule into SPICE . Here you have the flexibility to control the logic of how many days/months data will be made available for reporting.
Kind regards,
Koushik