If there's that big of a glut of inventory that 1 in 4 units in the city isn't rented, find some place else to invest.For rent to price ratios (seriously, get rid of CAP rates and all that crap, you're just giving yourself a headache)... 1% is about break even at today's interest rates (6% CoC w/ 4.5% for 30 years & 25% down)... 1.5% is about a 18% CoC return given a 25% down... 2% would be a 30% CoC.These are rough rules of thumb based on the 50% rule for expenses. 

You just can't get rid of me!

As you get to know the BP community and start to get your name out there, then it won't be hard to get rid of good deals.

Cut the price and get rid of it. 

Get rid of them and get good tenants in place.  

If they give you a couple of months to fix the problem you may be rid of it by then.I don't think any reports from your inspector will matter. 

If they mention that they have many properties when they call, I ask if they are looking to get rid of any other properties they own. 

Also definitely a good call on getting rid of carpet that would get worn out so quickly!

I got rid of all of my agents.

If a seller is motivated and wants to get rid of their house ASAP, you could offer them an option.