I like the idea. 
I like it the way it is... Like its all a question of outfitting, and not so much the ship.
Perhaps in the next batch of ships / release they do.
i would have thought the ASP was fairly good though as you can jump large distances fairly easy to get a good price for your goods - also its quite manoeuvrable in asteroid fields plus has decent enough hull strength for the inevitable bumps and scrapes - and you can still look after yourself in a scrape with one
Honestly I'm not sure how you'd differentiate between a strong multi-role or trader and a good mining ship.
Although on paper, the best mining ships seem to be the faction specific ships and, of all things, the orca.
The asp is cool if you want to defend yourself at a medium to low price point, but lacks a bit on module space compared to the type6, which I prefer for pure mining.
I guess you could make a ship around the DBX price point with less hardpoints than the asp but similar module space to the type 6, and call that a mining specialist, but it seems like wasted dev Energy to me.
Although on paper, the best mining ships seem to be the faction specific ships and, of all things, the orca.
The asp is cool if you want to defend yourself at a medium to low price point, but lacks a bit on module space compared to the type6, which I prefer for pure mining.
I guess you could make a ship around the DBX price point with less hardpoints than the asp but similar module space to the type 6, and call that a mining specialist, but it seems like wasted dev Energy to me.