Here's a dressing I make sometimes that is based on an old Moosewood restaurant recipe that, I suspect, was based on Portuguese milk mayonnaise. I think that the recipe might not be quite right though as occasionally it fails. So, I have had a look at some of the milk mayo recipes made some modifications. You can adapt it however you like - leave out the cheese, use different herbs or no herbs. The result, when it works, is thick enough to use as a dip. If it fails, it still makes a great salad dressing! (Maybe add a bit more acid tho?)
Creamy garlic, pecorino and basil dressing (based on Moosewood and David Leite's recipe)
85mL cold milk (full fat - the fat is required to make the emulsion)
5mL lemon juice or vinegar
3 cloves garlic
1 tbsp grated pecorino (or other hard cheese)
1 tsp salt
180mL neutral oil or a blend with olive oil
1 tbsp basil, finely chopped
Place the milk, acid, garlic, cheese and salt into a glass jug or a blender jar (not food processor). Using a stick blender on max speed (or the blender), whiz until the garlic is pureed and the mixture is frothy. Slowly, drip-by-drip, add the oil while whizzing. You can increase the speed of pour after a while but it should still be a very thin stream - always whizzing! For ages it will look like a creamy white sauce and you'll be worried that it's not working. Only near the end will it go thick and you'll be relieved! Once finished streaming and whizzing, quickly add and whiz through the basil.
If you only have a food processor, give it a try but, in my experience, it might not get as thick.
Use as a dressing or a dip for fresh raw vegetables.
Let me know what you think.