I think you're right that almond milk has more protein. Coconut milk has more fat; they might work well in combination.
Uses for coconut milk:
Coffee whitener
Smoothie base
Ferment it to make coconut milk yogurt
Anywhere you would use cream
I didn't drink it straight very often, but I used it in a lot of recipes. It makes a great Thai-style curry.
Before I went low-carb, I spent a lot of effort trying to make dairy-free ice cream and dairy-free pumpkin pie. I struggled for a long time to make almond milk work in these recipes and it never did. Coconut milk did the trick.
By the time I started using coconut milk, I was learning to cook meat. From the perspective of a meat eater, fat is way more important than protein, so coconut milk was good for me because of its high fat content. As a vegetarian, protein and good fat are both hard to come by: all the proteins are common allergens and a lot of the fat is omega-6.
I went on nutritiondata.com to get some more details. I didn't see almond milk, so I tried to calculate from the entry for whole almonds. I assumed 1 cup of almonds per quart of water, so 8oz of almond milk would be the equivalent of about 1/4 cup whole almonds, maybe a little less.
http://www.nutritiondata.com/facts/...products/3085/2
1 cup of whole almonds contains:
31g total carbs
17g fiber - I would normally strain that out, so either way that makes:
14g net carbs
70.7g fat
5.3g saturated : 44.2g mono : 17.3 poly = 66.8g (I know, it doesn't add up, there are a few other things in there)
8% sat : 66% mono : 26% poly (out of that 66.8g)
8.6mg omega-3 : 17253mg omega-6
That's over 1:2000 omega-3
mega-6 - not good!
So basically all of the 26% polyunsaturated fat is omega-6. I think 26% omega-6 is really too high, but it's better than soybean oil which is about 50% omega-6.
30.3g protein
Divide by 4 and you get:
3.5g net carbs, 17.7g fat, 7.6g protein
Okay now, 8oz canned coconut milk:
http://www.nutritiondata.com/facts/...products/3114/2
6.4g carbs; no details on sugars, I'm assuming there's no fiber
48.2 g total fat
42.7g saturated :2 g monounsaturated : 0.5g polyunsaturated - adds up to 45.2.
94% saturated : 4% mono : 1% poly
No measured omega-3, so we can assume all the polyunsaturated fat is omega-6 - but that's only 1% of the fats, so I count that as a plus.
4.6 g protein
So, altogether, that's:
6.4g carbs, 48.2g fat, 4.6g protein
From personal experience, I can say that coconut milk is a more satisfying drink because of the fat. You might not always end up wanting a whole cup. Of course that means your protein intake from it will be even lower - maybe 2 or 3 grams. To make it to 60 or 80 grams of protein in a day, you'd have to eat something else.