I think splitting the model down the center will give the best results, but you could also try doing a shorter layer height. Your slicer will leave a gap between the top of the support and the bottom of the print equivalent to at least one layer, so with 0.2mm layers you get at least 0.2mm of sag. With thinner layers, this gap is thinner and allows for less sagging in the print.

I’m not sure what orientation you’re printing it at but you could try organic supports, those usually take up less surface area. Unfortunately with supports you’re always going to have a rougher surface than printing without them