Honestly, even a bodybuilding routine is going to be based around those same compound lifts. Maybe variations of them, but a bodybuilding routine doesn't mean switching to all isolation crap or anything like that.
How long have you been on SS? What are your strength levels at? Are you still making strength gains? The next step would probably be switching to a upper/lower split in a moderate rep range (5-8), but not until you've built a decent base by getting stronger on the compound lifts. Don't think by switching to a bodybuilding routine you'll huge gains in size either. For novices and intermediates the best way to make gains in muscle mass is getting stronger, and 5 reps happens to be about the bottom end of the hypertrophy end anyway, so there's still lots of size to gain just from getting a stronger 5RM. So you're routine should be based on getting this up as much as possible. Bill Starrs 5x5 (usually madcows variation) is a common next step from SS, but you wouldn't jump into that until you're ready. If you're still making gains workout to workout on SS, you're not.
Also, what are your goals right now? Are you eating to accommodate those goals?