I know you want to rope everyone possible into this, but Jake can't play defensively anywhere other than 3rd or 1st. Harrison, Mendick, and Leury all have somewhere between decent and plus defensive abilities at all of the infield positions. Jake has a passable 3B.
Sheets is left handed, and seems to be able to at least stand in the OF, something Burger hasn't been able to do either.
Burgers last week has been .235.333.235.569.
If Jake isn't hitting, which he hasn't been since about the first week of the season, he isn't going to be able to stick and he DEFINITELY isn't better than Yoan Moncada.