A right tackle
Before you are (incorrectly) critical of another team wanting either of those guys, let me throw out the name of some tackles who have played 300 or more snaps this season.
The list goes on, but the point is that there are some BAD tackles right now and the tackles have two above average right tackles and I think Conklin is more than that.
If a team wants to get a look at a right tackle that they would potentially sign as a free agent, giving up a pick to do that makes a ton of sense. Those massive tackle contracts are hard to get out of quickly and knowing whether a guy has what you are looking for or not after getting first hand experience would be a huge benefit if you could afford it.