The NPU sells waxed polyamide twine - for reed making. This should do very well.
A good tip for the tying process is to use two dowels. Cut two to three metres of twine.
Fold so that the twine is now halved in length ( so you know where the middle is).
With the center point known, loop around the gusset and stock, starting at the bag end of the recess, with the middle point of the twine at o degrees, and tie a double loop in at 180 degrees from that, and draw tight.
The key point is to fold one end of the twine around and under the other, as in tying a shoe lace; but loop it twice, not once. Draw tight , using dowlels, around which, from the free ends, the free ends of the two halves of twine are wound, unitil about six to eight inches remain. They are your handles.
The double loop ensures that once drawn tight, using all the force of your arms and upper torso, the tightness does not slacken, as it would do if you only had one loop.
You then rotate the bag and stock 180 degrees, and repeat; working out from the slot in the stock, again with double loops, until the twine can not be worked any further, but working around the stock/leather subsequently, so that the loops don’t lie on each other.
The double loop, or even three loops, is a well known simple knot, which allows tightness to be maintained when having to move a peice of work, like a parcel, or in tying joints of meat, and have to change direction at the same time as lifting the object to do so for the purpose in question. The result is that you don’t have to maintain the maximum force through the whole tying process, a very wearisome thing indeed.
Experiment.