Internet Drops Intermittently

Alright, so this one has really been eating at me for a while. I've kind of put up with it until now, but I figured I'd try you guys since I (and the AT&T techs who have been out) are stumped. Here's the story: 

I've had 18mbps U-verse internet and voice for about 5 months. I had all kinds of problems getting it installed a few years back and they told me that I was ineligible. That is, until pair-bonding came into the picture for my area. Now I have U-verse, and the voice works great and so does the internet (save for more latency than my old DSLExtreme DSL). But that's when it works. What I have experienced is with my internet service, at seemingly random times, the gateway's (2WIRE i38HG) lights (except for Ethernet and Power) go completely off. 

As you may know, there usually are lights for the internet connection and the two phone lines, among other things. But in my case, they all go out. So it seems that the RG is losing some kind of sync with the iNID in my garage or there is some other problem. What's interesting is that the phones never go down, and upon inspection of the iNID, nothing seems different. The VDSL and two phone lines are all still the same. Even the data light looks the same as usual. But since the phones are working, I know it's not a problem there. But here's the thing: the only thing that consistently fixes this problem is cutting the power to the iNID and turning it back on. That causes my phones to go out as well for a bit. And then, suddenly, all the lights are back on the residential gateway.

I called ATT and they sent someone out. They were able to observe the problem and they seemed to believe that there was a problem with the wiring. So they wired me up with a "home run," which I gather means a dedicated pair of phone wires that just go to where the RG is. This didn't really fix anything. I think latency went down a little in general, but it didn't fix the problem of these drops.

So AT&T came out again and installed a brand new iNID. They were testing everything as okay, but then again, the same problem occurs. Remember though, that the phones always worked. 

My thought would be that there is something wrong with the wiring, but I am still puzzled as to how the phone works. And what's also weird is how resetting the iNID fixes it and resetting the RG only does NOT fix this whatsoever. 

As for time of day, I seem to notice this happening more at night. I read online about how if your pedestal is near a streetlight with fluorescent lights, there can be electromagnetic interference created. This is the case with my pedestal (it is right below a streetlight), but again the phones work perfectly and we still have this problem plenty during the day. 

It does, however, seem that these are not independent events. That is, if I had to reset the iNID already, there is a higher chance that I will have to reset it again that hour.

I am utterly stumped on this one. I would think it has to be something in my house, but to be honest, I am not really sure what it could be.