Of all the names here, most are "sell low" currently, which is not the best way to manage assets. Now some may need a change of scenario type of move (Black, Rodriguez) as they are lower prospect value now then they had any time point, but are also blocked (Black hasn't hit his way onto the scene, is limited to LF and maybe 1B and there are a plethora of people who can handle those positions as that is where the least defensively able usually go), and Rodriguez has multiple starters in front and behind him, and his versatility and young age may attract someone.
Sell high guys are tough, since you hope they are not at the peak and want to keep, but also most prospects don't succeed. So Wilken (obviously the injury will hamper any trade talk) and Crow (minor injury right now I hope) are the types you want to keep as guys with 30 HR minor league power are valuable, and Crow has a plus pitch and is heading to AAA. But those are the best "chips" amongst this group. And I would trade only for a great package (ie another younger controllable MLB ready player)
Burke is healthy, is in a stacked field (lots of possible 1B/DH types) who has hit but not shown the power. Was a 1st rounder, so could be a very tradable asset, much like Matt LaPorta (Burke is a better overall hitter from a contact approach and a better fielder), but he could be moved in a big trade. But also could be the future Brewer 1st baseman for the next 6-8 years.
Quintana is too young and raw, but is turning things around. He would be like a Jhonny Severino trade asset, may not get you a lot (2 months of Carlos Santana) and occasionally these turn into Freddy Peralta all star lottery tickets but most don't. I doubt he gets moved unless another team (one who may have been scouting him as a IFA) really wants him as the return on a trade.