Hi Chris, one tip that I can give without seeing the file here is to hide your new blend for a moment, then delete the existing faces in that area opening up a hole, and then show the blend and select it and your main object and run Edit > Join to glue them together.
Boolean operations are going to try and intersect the objects together which is going to be complex with pieces barely skimming over each other like that.
Join will only glue things together where they have unattached edges touching each other. Join won't do any intersection or attempt to removal material like booleans do.
- Michael
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