Is there any way to get xbox live gold with a $25 gift card, without a credit card

Very good day, currently if you can buy gold with the gift card, since it accepts it as payment method, I hope I have helped you in your question, greetings from Spain.

You can use a credit card and remove after purchase, just make sure it says use microsoft balance for purchase, then after remove card. Also if you have 1 of those debit/Visa gift cards from a store, you can put that as the credit card. After you
buy, remove auto renewal from account and then remove credit card from billing

In YT there are many alternatives I recommend you take a look

you can't pay for Xbox Live Gold with a Microsoft balance, the only way to pay for it is by credit card, paypal, and a actual Xbox Gold Gift Card that is only for Gold Subscription

infelizmente nao, existem cartoes live gold, e existem gift cards para compra de jogos e outros. assinatura gold apenas com cartao xbox live gold ou cartao de credito.

[Translation - unfortunately no, there are live gold cards, and there are gift cards to buy games and others. Gold signature only with xbox live gold card or credit card.]