ok, not sure how long the line would have to be, but how about this?

Take a piece of line say 25' with a double block on one end, run the loose end through something high on the mast, for a h16 you could use a shackle or the jib block, and cleat it off at the base of the mast, now, take a double block with a becket and attach it to the bridle wire. Tie one end of a much longer line to the becket than through the block on the first line, back through the lower block back to the upper block and back through the bottom block this would give you a 5:1 you could set this up in as high a ratio as you needed, than run the loose end back over the tramp, take up the slack as you walk the mast up. when the mast is stepped, undo the cleated end of the first line and the block on the bridle and your done.

Just a thought
Sam