…another thought…what about shaping the tubing a bit (then annealing) before drawing…
ie: place it parallel along the edge of a bench block and tap down at an angle to kinda form the narrower pear point a bit?
in my mind, it seems like taking fine silver strip. cutting it to the appropriate length, and shaping it on a mandrel and/or with round/flat pliers might be easier and result in flatter tops and bottoms…
just my morning coffee musings.
(i built a nice draw bench for around $100 bucks…it is great!)