Place the almonds in a medium frying pan over medium heat and toast, stirring often, until golden brown (do not let the nuts burn), about 8 to 10 minutes. Transfer to a large heatproof bowl. Add the sesame seeds to the pan and toast, stirring often, until golden brown, about 2 to 3 minutes. Transfer to the bowl with the almonds.
Add the rice, scallions, edamame, carrots, and cranberries to the bowl with the almonds and sesame seeds and toss to combine.
Whisk the olive oil, sesame oil, rice vinegar, honey and a pinch each of salt and pepper in a medium bowl until combined. Drizzle over the rice mixture and toss to combine. Taste and season as needed with more salt, pepper, and vinegar. Cover and chill for at least one hour before serving.