I generally use fragrance oil finder when I'm looking for something. Unfortunately, I did a search and nothing came up. You may need to make your own blend.
Jo Malone makes a perfume/cologne called Blackberry Bay (pricey) and here's the description:
Childhood memories of blackberry picking...A burst of deep, tart blackberry juice, blending with the freshness of just-gathered bay and brambly woods. Vibrant and verdant.
Just Scents has a Blackberry Bay that may be a Jo Malone Dupe, the description is almost the same. I haven't ever tried any of their FO but this sounds like what you are looking for.