I don't think the constipation of the FA market is really about the comp picks. A lot of the FAs who are unsigned, notably including Manny, can be signed without surrendering a pick. This is all gamesmanship and how the agents vs the teams' analytical guys calculate value. The solution is to increase the compensation for the younger players: arb a year earlier, guidelines for arb awards set at higher percentage of actual value. A guy with Nola's tenure ought to be getting roughly $1 million/rWAR not the ridiculous value the Phillies analytical formula spat out. That's where the problem lies.
Really, I'm not going to cry if Manny ends up with $250 mill than $350 mill and Harper finds he can't do better than $300 million. Those are both hellaciously big contracts. It's the very productive young guys who are being shafted. The new analytics is also screwing young pitchers who are given a start, then sent back to minors, then brought up again for another start, etc. The minimum for minor leaguers on 40-man and at each level also needs to rise. That's where the real pain and inequity lies.