Saving TileEntity data such as an Integer to Dropped Item when Block is broken

Basically just the title

My current idea is that I can use the "getDrops" method like in the ShulkerBoxBlock class and apply a "item tag" with the data, but I am not sure if an "item tag" is even a thing nor how to properly use the "getDrops" method (do I retain the loot table for the block).

Is there another mod that does something like this that isn't related to container items like shulker boxes, just some type of data? If so a link to it would be the only help I need. If not, then would someone mind explaining how this might be done?