AWS RDS SQL Server extremely slow compared to EC2 with SQL Server
It seems that the tool I used to migrate my DB from EC2 to RDS added a bunch of weird indexes which caused the performance of the DB to tank.  Once I removed any and all elements of the DB with 'azure' in their name my performance returned to normal!  The tool was extremely useful but if anyone happens upon this question know that you have to remove anything Azure created other than your original data.