Yeah, my husband and I looked at unemployment rates when deciding where to move, too. The apartment we chose costs a little over two weeks of the max unemployment, instead of the other place, which took just under four weeks' checks. Neither is comfortable, I'd have to get a job ASAP, but it's something.
I don't know the official name of it, but here in NYS, there's a rule saying that you don't need to accept jobs under a reasonable salary for that position. Remember -- if you accept a job that pays drastically less than you normally make, even for just one week, when you go back to unemployment to apply again, your MOST RECENT salary is what they use to determine your check. So taking work for lots less than normal could end up costing you more in the end. Be cautious.