This is sad but true.
My idea of a 'proper' exploration ship is, quite frankly, the USS Enterprise NCC1701-D Galaxy class. However, such a ship cannot exist in the ED galaxy (apart from everyone hates everyone else) as it is quite simply too big. it DOES, however, have a lot of sciencey scanning stuff that defines it as an exploration type ship, one that can also defend itself very well when needed.
As Elite ships do not have dedicated science modules, apart from the scanners of course, I think the only way you can really 'solve' the exploration ship question is to create 3 new ships, small, med and large, with similar looks, traits and design, that would perhaps give more utility, power, speed and hull, and perhaps FSD range, at the cost of many hardpoints, shield strength and cargo space.
A bit like the Imperial range of ships, but different specs.
This way, they could be named appropriately, say 'Star Gazer', 'Star Roamer' and ' Star Destro..' no no.. I mean 'Star Finder' - terrible names, but you get the idea. (Perhaps they could be offshoots from the Moray Starboat ...)
3 ship sizes, similar design and function that could be used for other things, naturally, but 'marketed' at the frontier explorers for 'endurance, longevity and survival', without giving them the means to become killing machines.
That's my (rather late) take on it.