Vanilla Creme Soda

I was just craving a sweet soda but discovered we had only club soda and sparkling water so I improvised the following recipe:

1 - 2 teaspoon vanilla extract
1 ½ tablespoon sugar
1 ½ tablespoon non-dairy creamer (cream would probably do just as well)
½ cup club soda

Mix extract, sugar and creamer with spoon until well blended. Add enough soda to dissolve the solids and stir until smooth. Add remaining soda and give a slight stir.

I enjoyed the vanilla creaminess. There was still a lot of creamer not dissolved but I didn't want it any less creamier. The obvious solution is to prepare a creamy syrup, but that would require advance preparation and I don't know how well non-dairy creamer suspends in solution (though I know you can do it with real cream). In bubble tea shops, they use hot liquid to dissolve the powders and then mix in ice and the remaining liquid, using a shaking machine to get a smooth consistency. However, I fear that would shake out most of the carbonation, resulting in a flat soda.