Thanks folks, I didn't realise that eval board had the ECG etc. on it. Having said that, I've gone through their gerbers and I think that board is simply laid out with two main goals:
1. Must be only two layers.
2. Everything must fit.
Thanks for the feedback/tips @bobaruni. I expected the performance of an on-chip 16-bit ADC to be fairly average (as far as 16bit ADCs go), but as far as price goes it's the cheapest way to get that sort of sample rate in >12bits by quite a long way.
I'll be putting it down on a 4-layer board, so hopefully with a large ground plane, plenty of decoupling and practically no other digital circuitry on board it should be ok.