Done that. If the strips aren't too long (i.e. less than 10'), it's not too bad, especially if you have a miter saw and a nail gun. Without nail gun, if your walls are actually perpendicular with the ceiling and the crown molding is already cut for a perpendicular, you hold it up, and I would put a nail in just enough to hold it. A level would be nice to make sure you've got it on correctly, too. It's possible. Two ladders would also be helpful - you could step from the one to the other and then put in three or four nails to hold the molding in place while you move the first ladder. If necessary, use sturdy boxes, furniture, etc to help in this endeavor.
We're done with six doors' worth of framing/trim, painted three closet doors, have a bathroom door primed and drying, and next is baseboard all on the hallway and main floor while we paint the primed door, take off another door and prime it. Have a total of two doors to take off, prime, and paint, and another four to repaint. Yippee. Then we have to fix the holes in the drywall as a result of the lack of baseboard/door stop, redo the trim on the outside of the house, re-oil the wood siding on the house, replace some porch boards, sand and waterproof the porch, paint the main floor, pour concrete for a walkway (the old bricks were disintegrating so we pulled those out)... I'm sure I'm missing some stuff yet to do.