Start working your network as soon as you're able to. Call your friends, call your family, join job hunting Meetup groups--find out who's hiring people with your experience. Get your resume updated on Monster, Dice, LinkedIn, and Robert Half and you will get calls and emails within hours.
If you want to stay local to Dane County, Robert Half Technologies is probably your best bet. There are quite a few tech companies in Madison that aren't Epic, but are used to hiring ex-Epic employees.
On LinkedIn, join the Epic Users One Stop Shop group and any sub-groups that you qualify for--most are based on what certifications you hold, but there's also a group for Epic Non-Compete. This is mostly inactive with few discussion threads and little user interaction, but the action that does happen is useful. The group's administrator gets tons of job postings, although you won't be eligible for any of them. Post to discussions though, and get your name out there. If you give good advice, people will start to recognize your name and you'll get a leg up on other prospective hires a year from now.
The great part is that you can do all this while you're still at Epic.