Without climbing into the whole "tone wood" rabbit hole, (After all the range of wood species used successfully in acoustic and solid body instruments has grown substantially over the years compared to the old tried and true types, that made up a limited available range.) there are plenty of choices beyond Ash, Alder and Mahogany, without going into super heavy types. Though Ash that hasn't grown in the southern swamp areas, certainly isn't light weight wood, though it's the same species.
Mahogany averages out at around 37lb per cubic foot, Black Walnut averages 38lb, English Walnut 40lb. Koa and Tasmanian Blackwood, (very closely related) average 40lb and have been used successfully by numerous builders.
Sure, Pau Ferro 54lb, Cocobolo 69lb, Bocote 53lb, Wenge 54lb and Rosewood 52lb among others, are getting a bit weighty for solid bodies, but I don't think anyone would call them dull or lifeless.
I prefer lighter woods for solid bodies, as long as they have a good "tap tone" and are structurally suitable for the job ( Will hold screws, not prone to warping twisting, spliting etc.) and am happy to get any wood that fits the bill and comes in under the high 30's to 40lb mark. Though I've used a lot of Mahogany and Tasmanian Blackwood (and I'd use more Walnut if it was readily available down here in Australia) over the years and they are both favorites as long as it's quality stuff. No wood is of much use regardless of name or price, if it's sub standard for the species.