The best replacement for hole in one is 300 game.

The best alternatives to hole in one are rated as following:
★★★★★  300 game
★★★★  double eagle
★★  hole in one

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Speaking about hole in one, one probably shouldn't forget about pga.

Other search terms related to hole in one and their ratings are:
★★★★★ pga
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hole in one
300 game
double eagle