Choise of solvent for extraction
The perspective about ethyl acetate should be revisited.  EtOAc is slightly soluble in water; not infinite (as e.g. ethanol), nor this little as hexane(s).  It is greener than halogenated solvents such as dichloromethane, and the boiling point higher than the for dichloromethane or diethyl ether*) is an advantage during summer.  Thus, EtOAc is an often used polar solvent of extraction.
Equally recall the partition coefficient -- multiple extractions with a small volume of organic are more efficient than one with a large volume as long as after shaking the organic and the aqueous layer separate well from each other. Typically, for the isolation of your raw-product later to be purified by crystallization or chromatography, three extractions just «good enough» may suffice for you.  Except you intend a Craig-Extraction to separate similar compounds from each other (as here), a precursor of the countercurrent chromatography.
The same logic of using multiple small volumes instead of one large is applied when washing the organic phase, e.g. by brine, and back extraction.  Indeed, the presence of salts in the aqueous phase may break an emulsion during an extraction; prior to application, it should be tested on small (e.g., test tube) scale ahead though.
*) Compared to diethyl ether, consider MTBE ether as alternative: it is much less prone to the formation of peroxydes, has a higher boiling point, and is cheaper (per L) than the former, too.