There are quite a few areas of MQ in the outskirts of Plymouth. Eggbuckland, Plymstock, Plympton to name a few. Most are standard 3 bed council style houses with small garden. If they don't have any houses to suit your needs ie your only eligable for 2 bed but they only have 3 beds you will be put in 3 bed at 2 bed rates. Also if no MQ's available then they will put in private but you will pay the rate you would pay if in MQ.
There were a few available in the Plympton area not so long ago although not sure currently. Plympton is a nice area in my opinion.
Sooner your hubby gets on it, sooner you can source a MQ.