I don't think you should use a transformation of any kind during in a tournament setting. It makes the scoring too mystical and players won't have a clue what's going on. Any benefits you gain would detract from the fun.

The ifpa system isn't much different than your "linear one", except the point scale is inverted (more points the better you do). Most people find this intuitive. The bonus system is cool too. Getting a top score on one game can help you out big time if you aren't playing as well on other games. It can also be devastating to your overall score if someone tops you. What fun!

If ties are your only problem, consider having a one ball playoff on a random game. Only do this when it matters, otherwise ties are okay. It's quick, it's easy and it's fun. Data transformation= not fun.

Pm me your email and I'll send you the ifpa excel template, with excel macros already written. No need to reinvent the wheel.