I have the smallest hands of any adult I've ever met in person, only 2 mm longer and 3 mm wider than yours, and I play a 15.75" viola. I'd suggest taking some tips from the viola community in general. Violists are used to making adjustments to  their technique for the larger instrument, and I have to use every single one of them.

Start with posture: you may find that you can reach farther if the violin is angled more in front of you rather than to the side. You may need to adjust your chinrest and shoulder rest setup to facilitate this.

With smaller hands, it's best to balance your hand closer to the center. Traditionally many teachers tell you to put your thumb opposite your first finger; violists tend to place their thumbs closer to the second finger, and in recent years it's been more accepted in violin playing as well. You may also want to learn to adjust your thumb while playing. Here's an article (aimed at teachers but still useful to students) with some good photos of what this looks like.

https://suzukiassociation.org/.....-to-fluid/

You also don't absolutely have to keep your wrist straight -- violists often play with a slightly rounded wrist to allow them to reach more easily.

Finally: instead of starting with the first finger and reaching up the string, consider starting by placing your fourth finger and reaching back toward the scroll to place your first finger. This will help with hand balance, and can also show you where your first finger can help stretch a bit more.