That's easy; just don't leave TexasThat's cool, haven't seen those before...
Question I would have is related to impact on carry/reaction-time considerations...
My current understanding of this (and I could be wrong or have missed something), is that by converting to an SBR, you lose:
1. The ability to carry 'concealed' (though that in itself is a 'loaded' term), as I don't believe that rifles/sbr's are covered under most (if any) state ccw laws...
2. Ability to carry while in-vehicle in Condition 1. I'm a little bit fuzzier on this one since it's been a long time since looking into, but if I recall correctly, this restriction (which may not exist in all States) was tied more to anti-poaching/game laws than ccw or the like...This is something I'll need to do more research on when time permits...
You'd also be fine going to any state that is worth going to.
On some polymer pistols the serial is on a metal tag embedded in the frame like in the picture below. I'm guessing you could make your own tag with the NFA info, but that isn't an option on the 320 since the trigger pack is the "frame" like you point out.The engraving isn't on the polymer. It's on that trigger group/frame thingie that fits in the middle of the "chassis". The chassis is non-serialized.
Of course, that makes the problem worse. How do you engrave on the thing that is legally the firearm, i.e. this:
View attachment 152096 ?
Picture credit: cbhausen via ingunowners.com