I like to take the carrier with me because how is anything any fun if you don't have a hulking great albatross hanging around your neck whilst doing it? (kidding) So I tend to scout ahead in my Dolphin, I scan every system, all bodies. It is my greatest hope that one day I'll find a previously undiscovered Guardian site, or some such. I'm compelled to scan everything because it is my greatest fear that one day someone does discover a new Guardian site, or some such, sitting on the one planet I didn't scan in that system. The proud CMDR will come on here saying, that CMDR XloubellXX, what a joker, scanned everything else in the system and missed this Guardian/Thargoid base that has never been seen before. Naturally I would have to kill myself.
I plot a route of 500ly from where the carrier is, heading normally, out toward the rim of the map. By the time I'm around 400-450ly away from the carrier, I'm staring to look for icy rings. If I find one, I DSS it. I'm looking for Trit hotspots. Having found that, I call the carrier. Normally there are some bodies in the system with geo sites on, so I DSS them, land on them, scan the Geos, rob them of their minerals whilst waiting for the carrier to arrive. Rinse and repeat.
I'm just finishing off my combat ranking in the Bubble at the moment. I will be heading back out in this fashion. This time I will pay more attention to rocky and metal rings. If these CG's continue, for the foreseeable, it is possible that I arrive in the Bubble one day with an FC full of goodies and drop a bunch of to the station securing my position at the top most of CMDRs active in the CG.