I would say that using GiveWell is a perfectly fine approach, but it is not the one implied by the phrase "strongly consider".
I’m not sure that “we should strongly consider” necessarily means you do the considering yourself, since “we” is fairly vague about who does the work. But maybe the wording could be clarified?
Also, fwiw, this is effectively already true. The main EA organizations are operating funds you can donate to directly, which they will subsequently distribute.