I live in A2 as well and I don’t even bother looking for gigs here. Duo used to be the tech company to work for here but they were bought by Cisco which is not really my vibe. Barracuda is another big name but other than that I cannot name many others.
In Ann Arbor the name of the game is small startups, often derived from U Michigan professors. There are enough of those you can make a career there, though it's wise to expand your network to include other towns within 30 minutes (like Plymouth or Novi). You won't want to rely on only UofM for work, though I know a few who have worked there in computing for decades.
