Inbetween RigidBody and RagDoll

Hello All, I want to have something that has physics somewhere between ragdoll and rigidbody. Think.. Rubber Chicken... Flexible, but not floppy.. rigid but bendable..

I tried making my object in blender, adding an armature that was lightly weight painted (blender) and brought it into unity and added ragdoll physics. Well.. the result was extreme floppyness, in fact parts go completely wacky and some parts went through the floor (as an aside, where is the minimum physics calc time.. did they move it in 3?)

Any way.. what is the lightest weight, easiest way to create a slightly bendy rubber chicken?

Thanks! Craig.