I've made many sticks and staffs from Birch over the years and all have stood the test of time................Strongest is to leave the bark on, and if you don't want to wait for it to season give it a couple of coats of Danish oil
with 24hrs between coats, put the first one on and rub in gently with 00 wire wool so it penetrates a little into the bark..........a bit of beeswax on the raw ends and any exposed bits to stop it loosing moisture too quickly.
The other thing to do straight off is to get a ferrule onto the bottom of the stick, although birch is very unlikely to split or splinter, it will wear down quickly if not fitted with a good ferrule.
Hope this helps a bit, ...............atb mac