Release all the papers when you release the data.
Not going to happen. You need to publish during the data collection period in order to continue getting the funding you need for data collection.
Few replication attempts are doing exactly the same thing as the original paper, for good reason.
Right, but replication of the experiment is the EXACT reason that we're making the data available. If you want to use the data for something else, that's fine, but if it's data that the original author is still using, then you should contact them about it first.
A partial solution, I think, is for a group such as yours to pre-plan the data use already when collecting it. So you decide from start to publish a subset of that data early and publish papers based on that. Then publish another subset for further results and so on.
Again, this is not realistic in the overwhelming majority of cases. One of the benefits of long-term studies are the unexpected findings. Imagine that I've been collecting data on a population of lemmings over the last 20 years. It seems to me that the lemmings have been getting smaller since I first started capturing them, so one day I decide to regress body size on year and I discover that the lemmings have indeed been shrinking, and I can show that it is probably linked to changes in vegetation driven by climate change. I shouldn't have to give away my entire 20-year data set (which I had been collecting for a different purpose) for anybody to use for any purpose in order for me to get this one study out in a timely fashion.
Besides, many researchers are already dealing with data sets that are >50 years old, and your "plan to release the data before you start collecting the data" suggestion is moot for those people with inherited data sets.
But what we really need is for data to be fully citeable.
Getting your data cited is not NEARLY the same as publishing. Not even close. To get academic positions, pay increases, grants, etc., you need authorship. No one really cares about how often your paper or your data has been cited. That info isn't even on your CV or your grant applications, so no one will even have a rough idea unless it's a particularly preeminent paper.