D'oh! It seems I have been ninja'd, but here is the long answer to your question, @Erulad
According to the OP, it depends. If you go for Deep Space Engineering (DSE - Liberty), the Hegemon and Rhino are really the only two recommended ships if you're looking for something with decent cargo space. DSE has a mining bonus of 4.0 for Copper. If you go for Daumann Heavy Construction (DHC - Rheinland)
If you want pure mining speed, go for a Surveyor and fill all weapon hardpoint slots with Light Mining Arrays. Usable by both recommended IDs.
The Rhino has a Hold size of 560. Placement of turreted Light Mining Arrays goes in hardpoint slots 4-5-6-7. Cruises at 400m/s and does well in third person view; best in first person. DSE ID.
The Hegemon has a Hold size of 2,750. Placement of Heavy Mining Arrays goes in hardpoint slots 1-2-3-4. Cruises at 350m/s and is really only usable in first person. The Hegemon has a terrible REEEEERRR-grind-grind-grind sound you have to deal with, so playing with sound off is recommended. The Hegemon also tends to get stuck on asteroids frequently. I also recommend mapping roll left or right to your tilde key for first-person rolling, which helps more than having to un-cruise to get un-stuck from a rock. Usable by both recommended IDs.
The Ragnar has a hold size of 850. Placement of Mining Arrays goes in hardpoint slots 4-5-6-7. I'm actually not sure on how fast it cruises, but it does get a transport shield. DHC ID.