Are extra light acoustic strings too light for the neck relief?

I suspect I may have tried to put strings on a guitar that are too light. I am wondering if there is anything that can be reasonably done to make it work?
I found a nice basic Yamaha 370 short scale dreadnaught at a second-hand store for cheap. The neck looked properly straight and even ( but with no strings) so I bought it.
On a whim, I bought a set of .010-.047 extra light D'Addarios and slapped em on. It's pretty fun! I am really enjoying these loose bendy strings on an acoustic. I've never tried it before and I like it. The problem is about a month after stringing it up, the fret buzz went crazy mostly on the 2nd fret. I wasn't entirely surprised by this as I expected the neck to react after having had no strings on it for who knows how long? I backed off the truss rod over a couple of days and it helped a bit, but I think I have hit the point of no more relief to be had in the neck. Slightly nudging forward with my fret hand fixes it straight away.
Also, I live in a very dry climate and I normally store my guitars on neck hangers... if that means anything.
Any wise thoughts or clever tricks? I'd like to make it work but it just might not be possible.
This guitar ships with a pretty light set from Yamaha;.012 -.052 I believe. Would a slightly taller bridge make any sense to try? I feel I could very slightly change the geometry with a different nut and/or bridge but I know there isn't a lot to be done if the neck won't bend enough.
Thanks in advance!
I found a nice basic Yamaha 370 short scale dreadnaught at a second-hand store for cheap. The neck looked properly straight and even ( but with no strings) so I bought it.
On a whim, I bought a set of .010-.047 extra light D'Addarios and slapped em on. It's pretty fun! I am really enjoying these loose bendy strings on an acoustic. I've never tried it before and I like it. The problem is about a month after stringing it up, the fret buzz went crazy mostly on the 2nd fret. I wasn't entirely surprised by this as I expected the neck to react after having had no strings on it for who knows how long? I backed off the truss rod over a couple of days and it helped a bit, but I think I have hit the point of no more relief to be had in the neck. Slightly nudging forward with my fret hand fixes it straight away.
Also, I live in a very dry climate and I normally store my guitars on neck hangers... if that means anything.
Any wise thoughts or clever tricks? I'd like to make it work but it just might not be possible.
This guitar ships with a pretty light set from Yamaha;.012 -.052 I believe. Would a slightly taller bridge make any sense to try? I feel I could very slightly change the geometry with a different nut and/or bridge but I know there isn't a lot to be done if the neck won't bend enough.
Thanks in advance!