Its a long time since I was down that way but one that I have got bookmarked for some unknown reason is hip 16663 a pristine system with all 4 ring types.
The nearer the center of the bubble you go the poorer the quality of the ring could be, always aim for Pristine systems.
The basic's,
Map the rings with DSS to show hotspots.
Make sure you have assigned your Pulse Wave Analyser to a trigger

Drop into a hotspot and slowly fly through it firing your PWA
Anything that glows yellow will have SD or SSD deposits, fire prospector limpet into these rocks and use appropriate weapon to extract minerals/metals.
The AB you have to hold the trigger until it fires, the SSDM you hold the trigger until the missile reaches the right depth in the asteroid.
Fast spinning asteroids take some practice to hit right.
These rocks will also contain Laserable deposits which can also be mined.
A Core rock will also have Asteroid fissures in them. first do any laser, SD and SSD on a core then fire your SCL charges into the fissures, again it is practice you need the right amount of charge to crack a rock, too little and it does not crack too much and it destroys most of the material.
Move back away before the charges go off, 1km or more is safe anything less and you could end up with damage, possibly rebuy in a weaker ship

move back in after the bang and let limpets collect fragments, you will also have to use your AB to break off SD deposits on rock fragments.
Have fun.
P.S. Forgot to mention watch your six, it is very easy to place charges and then back into another rock while trying to get out of blast range
