I would say a no down payment is silly.

Tenant's sign a "No smoking" in the apartments addendum.No Butts, No Smell, No Nicotine stained walls.

I am currently reading Brandon Turner's: "The Book on Rental Property Investing," as I came upon the following sentence:  "working with an agent is a no-brainer when you're looking for properties to buy."

If you are looking for a no money down kind of approach, I don't know much about that.

Simple route, since she is not a tenant, not paying rent, is to serve her and her kids with a no trespass notice.

This is your property, it's a no-brainer

If you do not mind living in the same building as your tenants and there is no other life situation that makes in non-practical then I think this strategy is a no brainer for someone who has done some research and thinks real estate investing is a fit for them. 

You "caught them," if we want to use that language, doing exactly what the lease says: NOT smoking on the premises.If they were trying to be sneaky or hide anything, like if you had a "no smokers" lease instead of a "no smoking on the premises" lease, they would simply be smoking inside the unit for fear of you walking around the corner. 

(in-between a tree and a no-parking sign)Thanks in advance!

I guess you could look at it as a forced savings.. if it broke even and your renter paid off your 75k house at the end of 20 years or so you could sell it and get 75 to 80 out of it.. well that's not the end of the world either.. but like we are discussing positive cash flow is the reason to buy assets in a no appreciation to slow appreciating market.