The SOX farm system is a desert right now. They were lucky to get Chavis and Weber from it. Players like Nunez, Holt, and Pearce won't get the SOX the quality BP arm they need. Eovaldi has the make-up to be a decent closer and let's see how Weber performs today.
I like the idea of Eovaldi closing. Weber is starting today and he's been pretty impressive so far. This is a stretch, but if Weber continues to pitch well, he could be the #5 starter, freeing up Eovaldi to close. That, to me, is the SOX best scenario at this point.
Maybe the SOX could sign Kimbrel on an appearance contract for the rest of the season. I know I've posted this before, but they could pay him a certain amount for each game he closes. I'm sure he's been throwing while unemployed, so he would probably be game ready in no time.