Try and get rid of those cracks on the outer surface. They can run deep and sometimes you can't tell until you start working them.
No problem using the drum sander, it is a very accurate and dependable method. I actually stick my horn to a thick piece of ply with hide glue, do the thinning and tapering. Then whilst still stuck to the board I establish the centreline and do the grooving. It was one of the best ideas I ever had! You can also use a taper sled to establish the taper on the horn.
Don't worry about getting the longest possible set of horns, go for wider rather than longer BUT you really should get rid of all natural grooving on the outer surface before doing anything else, don't trust that you will be able to remove it all once glued to the core. All it takes is one hidden crack....