that looks pretty much like our requirements as well. We have a 1-year minimum, everything else is the same. We are also in a C neighborhood and get over 100 emails requesting more information. When I respond with the pre-screen questions that number goes way down - to about 20. And then the number of people that reply back that they will actually come to the group showing is even less.
We have great houses in not so great areas and offer rent just below or at market value. This makes it a competition for the people who want to live here. The best candidate will win and I've had them offer more deposit, longer lease as well. All you can do is screen really well.
Our current tenants have 2 dogs! However she is a vet tech and they pay $25/month/pet and all has been well. They too had 750 credit rating and made 4 times the rent. It's hard for people to believe that hardworking people with good credit scores want to rent in these areas but for some they have grown up here and it's normal. They really do exist people!
@Nick Brubaker, pull the trigger. Do the "pet interview", like @Susan H. said. that seems really wise.