they made a LS convertible - it's called a t-bird.
and though it was heavy and underpowered - it had great styling and is still a headturner for a crusier.
I can't quite go with you on this one--f'rinstance, I'd love to have one of those old '60s convertible Continentals.IMHO - I never liked sedan convertibles - they always seems very 'girly' to me.