OK. This wasn't clear from your first post, especially with this:
Thoughts: incentive like a giveaway could be possible... that would require something like an email...
b
Then you just pass on the token in another way (printed on a paper). But I assume that you rule this out with this phrase:
Paper systems with something like a code is not an option at the moment...
Maybe besides the option that they have to register. This option is included in Limesurvey, but you could register more than once. But if they have an official email from the institution, which is unique, you could use this to make sure that they only respond once, because I think each email can only be registered once.
But then, this would make responses idenfiable.
If this is not an option, I see little that you could do.
Maybe someone else has an idea.