Forget about Nagoya with its night clubs, shopping malls or whatsoever there is.
First thing first you have to seize (the moment) when you're in Batam is enjoying Barelang Bridge (so sad that I haven't even been there yet!), the icon of the island. But, you know what, there is another perfect getaway destination for your gastronomical desire. It's about 20 minutes southward from Kepri Mall and do not worry as it is money worth it. Okay, let's start the journey from Kepri Mall. Instead of going straight ahead if we go to Nagoya from Batu Besar, we turn left in Kepri Mall intersection. After about 3 miles away we'll find another junction and we turn left and down the road until the edge of the island (Kampung Tua Tanjung Piayu, Batam). The road condition is a little bit worse in 500 meters away from the place. Along the way there you will see the iconic Barelang Bridge on the other side of the island on the right and sea on the left. So, we're down the way southern-ward to the peninsula. I recommend you to go there in the daytime or afternoon just before the sunset as there will be WAY more beautiful view you can see.
I don't know the name of the seafood restaurant as it is like, you know, traditional right-above-the-sea restaurant and I went there in the evening. We were like 20 persons and the total cost we had to pay was ONLY IDR1,000,000.00 (USD100 for 20 PERSONS! 5 BUCKS EACH!) and you know what, LOTS OF THINGS! Crabs (a buch of crabs!!!), shrimps, sauteed kale, gong-gong (a kind of seafood snail cooked with its shell and it tasted simple, natural and delicious!), buckets of rice, Lebam fish (with spicy dressing), coconut (a whole coconut and a straw attached just like summer time), sambal, even though sadly the fried-crispy-cuttle fish were sold out, but still, delicious!
While you're waiting the dish to come, you can enjoy the islands view just outside the restaurant. You can chill out in a--let say--mini dock and see the islands spread out there. It took a little bit long time until the dish were served. I asked the local guy whether I can go around the tiny island (it's uninhabited!) but sadly it's evening. By the time the dish were served, all you're crave was like...paid off! Those things mentioned above just rushed on to the table and waited for your appetite!
One more thing to know is that there were many fish, I mean, Lebam fish below us. I saw a kid fishing, using a bait attached in a string and you know what, he got 2 fish in less than 5 minutes and I was like "Oh my God, how could he do it?"
Overall, it was a very memorable moment and you gotta try! Just take a look at pictures and you'll see. I mean, it's not a lux place. Instead, it's more like local people's housing that's set to be a restaurant but the seafood rocks like the hipsters in the downtown. Lol