Jez posted while I was typing, same answer as the others essentially..
Hi, and thanks for that - I've been researching a bit, and It does seem like *some* extra power would be okay; I was just trying to determine if there's a point at which it might end up being too much extra.
Using a power supply with a higher amperage capacity will not cause a problem. The recorder will just pull from it whatever current it needs. A power supply that does not provide enough amperage IS likely to be problematic and should be avoided, but not an over-spec'd one. Make sure the supply provides at least 2A, and as grawk mentions, make sure the voltage and polarity (how the connector is wired) are correct, and you should be good. The range of amperages you mention finding above are all acceptable.
tl;dr- But what are the implications when taken to the extreme? If some kind of internal short failure were to occur inside the recorder, it would create a very low resistance circuit path which would in turn cause an unusually high current draw. The power supply would then attempt to compensate and provide the additional current up to the limits of its capacity. But since we are taking about well designed recording equipment, there is most likely an internal fuse in the recorder that is designed to blow in that kind of over-current situation, thus protecting the system and the user from catastrophic damage. Short occurs, current draw rises, fuse heats up and blows. That sequence occurs with any external supply of sufficient current capacity. But lets rig the situation and take things to a ridiculous extreme. Say someone bypasses the fuse and is using a power supply with absolutely massive amperage reserves. The recorder works just fine until that internal short occurs, but lacking the protective action of the fuse, current across the short-circuit is no longer limited. The power supply does its job and provides as much current as it has available, essentially creating an arc welder. So, best not to bypass fuses or use welder-sized power supplies when unnecessary.