Try CraigsList (link below) since that is where landlords advertise (since it is free) their apartments and townhomes. Once you get the addresses from the apartments and townhomes you are interested in, call the Lawrence Police Department and ask them how safe each address is. You should also check with Douglas County Court House Civil Records to see if the landlord has the habit of suing the tenants.
If you are looking to purchase a home in South Florida, perhaps I can assist you. I am a native of the region and know the market very well. I would be happy to help you find a home here in Sunny