My Gumtree find has come along - I've ordered the tuner but have borrowed one from the 4-string I have here for now as the strings turned up today.
I had to break out the soldering iron as one pickup wasn't working, a quick setup later and a new battery and it's really good. Sounds great, the action is low, neck is straight too. It's one of those where it's so easy to play it feels like it's detuned a whole tone.
Bargain!