Bears have better noses than bloodhounds so you have to have the wind right every time to make it work.The problem is,in the mountains,the wind can be very fickle,especially in the afternoons.
There eyes aren't great but at times can pick out a human form at quite a distance,especially if you are standing up or moving.
They should be on the fresh new grass in early spring.After a few weeks out of hibernation,they gradually include insects and larvae into their diet and meat when they can get it.You will see fresh rocks rolled over and stumps torn open when this happens.
If it is very dry country with few water sources,it pays to locate springs etc as bears will need to drink every day.You should find tracks at these springs.
I haven't done much calling but have friends who have.Most are calling bears that have already been spotted.Maybe wind and lack of cover makes a stalk impossible.You may be able to call the bear to a more suitable position.I think Fall may be better but late May should work as bears start to hunt deer fawns and elk calves.At any rate,calls normally don't spook bears.They may respond or they may totally ignore them.Wayne Carlson has a video on calling as does Woodwise Calls.
Bears have heavy shoulder and leg bones but their skins are thin and ribs aren't heavy.I'm sure you could kill one with 47# but I would want the arrows tuned well,broadheads razor sharp and arrows of decent weight.Bears are notorious for weak blood trails so an exit hole is a very good thing.You want to only take shots that you are sure you can put right in the pocket.They will go down quickly with double lung or lung/heart shots.Statistics show that with anything less,however,most bears are never recovered.
Properly hit,most bears don't make it 100 yds.The only one I shot with an arrow was heart/lung shot,ran full tilt and piled up in 13 yds.That was a Schafer 57# recurve and it blew through the bear like butter.Many times,you will hear a death moan as it expires,but not always.
Spring bear season is a great time to be out.We are lucky as not many States have a Spring season.It is my favorite hunt.10 power binoculars are a must and a good spotting scope will be a big plus.My friends like evenings best but my trail cameras show bears moving from early morning to late evening,all through the day.The trail cameras are in the timber though so maybe it is different there.Have fun.