Whenever I switch saddles the new saddle rubs me raw for a little while.

I find tiny adjustments in tilt help.

Try getting the saddle as level as possible (it might look slightly nose-up when perfectly level).

Bag Balm helps, both before and after riding.

The last time I got a new Brooks I could not have made it through the adjustment without Bag Balm.

http://www.bagbalm.com/