Hi Dave,
Is --leave-stopped what are you looking for?
[dimacriu]$ grep 'leave-stopped' -A 2 Documentation/criu.txt
*-s*, *--leave-stopped*::
Leave tasks in stopped state after checkpoint, instead of killing.
*-s*, *--leave-stopped*::
Leave tasks in stopped state after restore (rather than resuming
their execution).
--
Dmitry