I have a similar process with the same results. First know that if it is Leki trigger grips, the only thing getting those grips off is a hack saw.
For regular grips, I don't usually put them in boiling water but it does make it easier if you do. On one of my saw horses, I drilled a 1/2" hole (not positive on the diameter, just needs to be slightly bigger than the pole diameter). I knock the basket off, stick the pole through the hole and slam the grip against the horse a few times and it pops off. This is similar to the crack in the door method but I don't have a door like that in the basement where the work/tune shop is. Do make sure your holding the saw horse in place with the other hand. It takes a bit of force.
To get the basket off, I usually use a large adjustable open end wrench, opened to slightly larger than the ski pole diameter above the basket. Slam the wrench against the basket a time or two and it pops off.
I keep meaning to modify the hole in the saw horse so it has a slot going to the top of the saw horse so I can do baskets and grips.
For straps there is almost always some sort of wedge/pin that needs to be popped out. Some are adjustable so pay attention to how it all goes together as you take it apart.