Dude,
You shouldn't check the model type only for the value range of the poisson's ration.
You've viscoelastic models with poisson in order of 0.49 (rubber under high tempeartures).
Check the comportament of the material you're trying to model, if it at high stresses it has huge deformations, and during time it will relax the residual stress you should use the VISCOELASTIC model!
Hope this will help you!
Best regrads,
Eduardo