Usually, I see people glue the stand to the base, and then just push-fit the peg into the plastic for the model. Once the peg breaks off... which it does 100.4% of the time, somehow, they just drill out the bottom of the model to make it a little bigger hole, so the larger part of the stand now inserts into the model. You'd think it's mathematically impossible, yet it's true.
Use the longer stand, so that when this happens, you aren't dragging your ass on the ground.