"Dress gaudily" can evoke different meanings to people. Some may find it offensive and outdated, while others may see it as a form of self-expression. If you wish to use a different phrase, you may consider the following synonyms:
1. Dress extravagantly
2. Dress flamboyantly
3. Dress ornately
4. Dress ostentatiously
5. Dress boldly
6. Dress elaborately
7. Dress showily
8. Dress brightly
9. Dress flashily
10. Dress garishly
While these terms may convey a similar idea, it's important to be mindful of the context and audience. What may be considered appropriate in one setting may not apply to another. Ultimately, it's up to personal preference and style.