Chelle is right - allow a mowing strip, or more if you can. Also, see if you can enlist the help of anyone (maybe for a few daylily divisions as payment) and try the bucket method for the raspberries or they'll haunt you forever.
When you dig the raspberries you will have to follow the root as it heads north, south, east or west, because it will simply resurface time and time again.
We have the raspberries on the outside of the fence but they still creep towards the inside. I just might try the bucket method myself! Thanks for the idea.
When we grew our vegetables in this garden the raspberries invaded (as you can see) from the left.
I cut them down so the deer fencing could be installed when I changed the garden to flowers.
Aluminum flashing. A roofer could work with it but the bucket idea is better.