Here is an idea for getting them seated straight in the case. Us a seating punch with a flat surface as with some full wadcutters. Rather than trying to fit the curved sides of the nose, fit the flat on the front.
You can do this two ways. Get a different seating die with a flat, wadcutter seating punch, or fill the seating punch in the Lee die so that it has a flat surface instead of a curved one.
Filling the Lee punch can be done with epoxy, clay, and hot glue. Two of those are removable if you need something else.
With the epoxy, such as JB weld, you can do a precise fit to the nose to hold the boolit perfectly straight every time by coating a boolit with grease and pushing it into the JB weld before it solidifies.
This is a relatively easy fix and doesn't permanently ruin your seating die as the parts can be purchased from Lee cheaply. Extra seating plugs are available from Lee for $2 and shipping.
https://leeprecision.com/38-357-b-seat-plug.html