Hi Skylar, there are a lot of different ways to search for an out-of-state job.
Based on your husband's experience or current field, you can set up Searches on most job boards and even search engines.
Indeed.com is a website that aggregates jobs from most job boards (Monter, CareerBuilder, etc.). Working on an aggregator site like this can save you a lot of time perusing the other boards because it will have a link to those jobs.
You can set up and save independent searches on these boards and on the search engine and also set up contact preference. Contact preference is how frequently you want to received emails about new jobs in your saved job search.