Maybe - just maybe - the Blazers might use a small portion of the Trade Exception to bring in another player. Given the state of the team finances (ie, needing to pay Nurk next summer), I would be shocked if they used most or all of it either this season or next summer. IMO, it'll never be used at all.
Think of it this way - last summer, one part of the team's strategy seemed to me to be "Let's stockpile resources to be able to make a trade at some point for a center." Re-signing Crabbe could be seen as one of those resources, to be able to use his $$$ to match salaries in a trade for a big man. But in the end, the team didn't need to send that salary to get their center, but they did (and do) still need to send out that salary to make financial room for Nurk. So sending AC to the Nets served as the necessary salary dump to keep the tax bill from being overwhelming. As such, it would make sense that the team would just let the TPE expire and go unused - unless a gift comes their way that just can't be turned down. I don't expect that kind of gift to be offered, so I don't expect the TPE to be used.