Preheat the oven to 375°F (190°C). Lightly oil a baking sheet or line it with parchment paper.
Prepare the eggplants: trim the tops, then halve each eggplant lengthwise and pierce the skin several times with a fork.
Brush the cut sides of the eggplant halves with about 1 tablespoon of avocado oil and place them cut-side down on the prepared baking sheet.
Prepare the garlic: cut the top 1/2 inch off the garlic head, drizzle a little oil over the exposed cloves, wrap it in foil, and place it on the baking sheet with the eggplant.
Roast the eggplant and garlic for 45 to 50 minutes, until the eggplant flesh is soft and slightly browned; remove from the oven and let cool slightly.
Scoop the flesh from one roasted eggplant into a food processor. Squeeze the roasted garlic cloves from the head and add them to the processor along with 1 tablespoon remaining avocado oil, toasted sesame oil, cumin, miso paste, and rice vinegar.
Process until smooth, about 30 seconds.
Scoop the flesh from the remaining two eggplants into the processor, discarding the skins. Pulse a few times to incorporate while keeping the mixture slightly chunky.
Taste and adjust seasoning if necessary. Transfer the dip to a serving bowl, drizzle with chili crisp and a little sesame or avocado oil, and garnish with Thai basil or cilantro.
Serve with fresh bread or cut vegetables.