Make the ethyl or propyl ester, but do it so that you end up with with some diester, some monoester, some dicarboxylic acid remaining. I.e strong acid catalyst, fisher esterification, 1 eq of alcohol.
Disperse products into DCM/water. the Muconic acid should go into the water layer with neutral water in a couple washes (Its like 1g/L soluble in water, good enough, and the esters will be totally insoluble). Then do a bicarb wash of DCM layer, this will get the monoester into the water layer. If its an awful dispersion you can try methyl ester instead of ethyl. Take this water layer, then add fresh DCM, add HCl to neutralize bicarb to pH 6-7, and you will have the monoester in DCM. This can be reduced with LAH to yield the desired product.
This all off the top of my head, no guarantees!