A few (relatively easy) ideas:
1. Join a few "______ in tech" email lists, and if you don't feel comfortable joining the list or it is not allowed, at least email the moderator and ask if they take job postings.
2. Send someone from your company to attend to a "____ in tech" meetup. There are a lot and they happen often. Ask people at these meetups where they get their information, what email lists they are on, etc. Then, act.
3. Interns. People have mixed thoughts on interns, fine, but the "lack of experience" trope happens because it's really hard to get that first chance. Take a chance on someone in a lower-risk way.
4. Host some kind of public-facing community event one or two times per year. Advertise it on your website and your twitter. Generally as a woman I am more comfortable attending something like this rather than cold-emailing a company for a position that I am not even sure they are hiring for. See: "Code as Craft" at Etsy. Tech-centric topic, inclusive and public-facing way to see the office, meet employees etc.