The other legal issue is that some states don't allow towing doubles at all (at least not outside of the National Highway System where federal rules apply). This is a "rules of the road" kind of thing, so reciprocity with other state's laws doesn't apply. I see Lou mentioned this, though more succinctly.
There are lots of reasons why this is a rather risky thing to do with a rig like yours. It is NOT in any way comparable with commercial rigs with doubles-towing equipment (as Lou has explained). Further, I think your idea of a trailer with its axle far back just exacerbates the "snap the whip" effect of a 2nd trailer hooked to a hitch that itself is far back from the axle. Nor do I think an "anti-sway hitch" is going to make a difference.
I think this is something I would do only if it were really critical to my needs. Nor would I risk it often. I see guys taking their RV and boat to a campground for a long vacation or a season and think "maybe worth it", but it's still pushing their luck. If they ever had to stop quickly for some reason, I'm pretty sure no good can come of it.