This could work if you can tease the laminations out of the windings and restack them so that all the E's go in one way, and all the I's are stacked in a block. Then put a spacer made of a couple file cards or so on the ends of the E's before you put the block of I's over the ends. This air gap will reduce the tendency of the core to saturate from the DC, but will also reduce the inductance of the coil. If you have any commercial laminated core inductors, you will find the E's and I's stacked and spaced, this way.