What you can do is this:
Amp off the process when you run it:
Now you should still have a console, but it will still end when you close the ssh session, so:
type 'jobs' You should get a list of jobs (there is probably only one)
- Running inkscape &
+ Running gimp &
if the jobnumber isn't 1, replace it with the correct number. so if wanted to disown the GIMP, i would type
Now the process will continue even after you close the console.
I think this might be specific to bash, but other shells will probably have a similar implementation.
Hope that helps