A used Xeno, LXT or CF would work fine. You should be able to find a deal on Ebay or at a used sporting goods reseller. I would not spend a fortune on a bat because your DD will probably outgrow it in a year. Local softball message boards may have a buy/sell tab. Try Craigslist. If you know any players a year or two older than your DD ask them if they have any bats they have outgrown they would like to sell. My DD hit with hand-me-down bats for years.
Thank you!!
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