So, would simply changing the springs for higher rate items, say 115 or 140lb items, and some better dampers be enough? Would a Suplex conversion be a better option? Ideally I'd prefer to keep the cost down?
Harder springs do not make the suspension 'better', they just reduce the chance of the car becoming unsettled through suspension movement. It's a hangover from the "If racers do it, it must be good" school of thought, which is, for road driving, utterly bonkers, especially if one has a spine which one wishes to preserve in reasonable order.
The Suplex setup gives a more compliant ride with a rising rate that prevents bottoming out. I've had Suplex on my car for a few years now and absolutely love it. It has to be said, however, that some people don't like it and have removed it to go back to the standard setup.
I suggest you have a go in a Suplex-equipped car to see if it for you before forking out your hard-earned dosh.