Or, you might consider a 3rd. alternative, one that I did.
Frank Marino (Mahogany Rush) prefers STRAT pickups in his customized SG's.
I love Frank Marino's live (stage) tone. The first time I went to see him, I was taken a-back because I could hear a gorgeous FAT (and a bit on the dark side) Strat-ish tone from the guitar he was playing....yet it was obviously an SG. I wasn't familiar with his gear. The tone was different from anything I had heard before, but I loved it. I squinted a bit, looking real close and noticed that the SG had been fitted with a custom-made black pickguard, with 3 Strat pickups in it. How he had this wired-up, considering the SG's controls I'm not sure. I believe he goes into more detail about that on his website, but I haven't had time to check it out yet. I've since learned that he has 5 or 6 similar SG's including a couple custom SG-clones as back-ups, and they all use Strat pickups
Anyway, to make a long story short, I have a Tokai replica '61 SG and wanted to try something like that. But instead of having the body re-routed and a custom pickguard fab'd, I looked for a pair of humbucker-sized single-coil pickups that were lower in output than typical P-90's, that might happen to emulate a good fat Strat tone. I ended up using a pair of GFS "Dream 90's".... they do it well.
You might want to try that also.