Have you looked at Hamilton and Tissot? Both have some good options in your price point. Here are some examples.
https://www.tissotwatches.com/en-us/t41218334.html
https://www.tissotwatches.com/en-us/t1292102203100.html
https://www.hamiltonwatch.com/en-us/h32201430-jazzmaster-lady-quartz.html
Are you OK with a quartz movement? If so here are a few options.
https://www.hamiltonwatch.com/en-us/h13321511-boulton.html
https://www.longines.com/en-us/p/watch-conquest-l3-376-4-97-6
https://www.omegawatches.com/en-us/watch-omega-constellation-quartz-28-mm-13110286002001
https://grandseikoboutique.us/products/ladies-snowflake-stgf359