I don't want to be Mr. Obvious, but I will ask anyway...
Have you contacted lawn service companies in your area about your situation?
Most companies nowadays have "ala carte menus" for their services, and something like what you want is termed a Spring Clean-up by a lawn service company. You can almost always get a Spring Clean-up without signing up for weekly lawn cutting. These companies usually bill by the number of hours for the clean-up plus the trip to the dump, multiplied by the hourly rate per man.