This ricocheting is one unnatural thing happening here - either from the fringe or on flagstick bounces. We all get used to it.
About tiering up:
Next step is Master, when you reach a 67 average. This should be possible with Starter equipment.
Masters play one tee further back, "hard", and this will cause some problems with Starters. Some FWs will be unreachable, some water will be impossible to pass from the tee (?KIA #11?). It may be quite unpleasant. You can try it out in practice games.
It's not the ball causing the problems but the clubs. The lengths are low by design, and only by purchasing better clubs will this change. Then, the meter speed will be lightning fast, so custom balls will come to your mind. (The cheap ones will do as a starter)
Decision time, do you want to stay a TP or rather invest some in your pastime?
BTW: The first clubs to buy are two short wedges, but only after the decision!