We hiked up Bloody Canyon this summer and camped at Lower Sardine Lake. From there, the climb seemed pretty straightforward. It's a long uphill to bove Lower Sardine Lake...and then I think you'd follow the small creek up there. The lower part of Gibbs above Bloody Canyon is darned steep. IN fact, the climb out of Lower Sardine is about as steep a trail as we've hiked...
you can see that area here on the left of the photo:

So you'd want to get above that first....the head up the peak.