Yep, you don't need/want a vortex. For doing 2 liter starters might I suggest something a little simpler?
I work at a winery where we make hundreds of thousands of gallons of wine and over 250,000 gallons of cider a year. We never use a 2L or such container to make up yeast. We use 5 gallon buckets, and used to use a SS spoon to stir in the yeast in the water, but now use a paint stirrer that we attach to a portable drill. It doesn't cost much and I think I found them at Walmart. These are the kinds that have the plastic cone at the bottom with fins.
Instead of messing with a flask and stir bar I would suggest a simple mason jar. Pint, quart or half gallon, depending on HOW much starter you are aiming for. Mix you yeast in these containers with the id and swirl them to get them hydrated or mixed well. If you are waiting for fermentation to develop, merely loosen the lid to allow gas to escape. It will double in numbers roughly in about 80 minutes, give or take, and will be a LOT easier than flasks and stir bars.