The best replacement for gaige is maya.

The best alternatives to gaige are rated as following:
★★★★★  maya
★★★★★  zero
★★★★★  zer0
★★★★  axton
★★  hyperius
★★  axton borderlands 2
★  krieg
★  salvador

Your alternative for gaige is not listed? Suggest!
Speaking about gaige, one probably shouldn't forget about claws.

Other search terms related to gaige and their ratings are:
★★★★★ claws
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Google Trends

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gaige
maya
zero