If your battens get hung up it is usually since they get caught on either the jib or main halyards.

I put a Hobie "halyard grip" on the mast to pull the jib halyard back to the side of the mast.

After I raise the main and set the main halyard's stop in the halyard hook at the top of the mast, I swing the main halyard behind the shroud and then tie it off to the mast cleat. Next I use the last foot of the downhaul rope to loop around the main halyard and then pull it all the way over to the downhaul cleat and then tie it off.

This keeps the jib and main halyards away from the ends of the jib battens so they can easily slide across the front of the mast.