I have been teaching overseas for 18 years and have been on both ends of the hiring spectrum. I'm not sure the experience of the previous two commenters on the OP, but neither University nor Guidance Counselors are in high demand. In fact, many international and internationally-oriented private schools in Europe and North America are cutting back on these positions or dropping present staff down to part time. My current school eliminated the university counselor and has no guidance counselor. My previous international school only had a part time position that was combined university and guidance.

To the OP, I don't know where your husband wants to work (as it was not mentioned in the post) but if he has U.S. or Canadian experience, that will certainly be an asset when applying for an international school position.

In his cover letter and any narratives needed for applications, he should be clear that his present employ should not immediately be contacted but CAN BE contacted should an offer be made. Recruiters are (mostly) savvy and would adhere to such statements as highlighted in a cover letter.

And, to the references, if his recommendation writers can speak to his knowledge of university admissions, about any experience related to this, and, as you mention, his interest and passion in working with children. Such qualities will certainly help his application file to stand out.