I really like your solution. Specifically, the fact you did not oversize the thickness, and added plug welds.
However, one small suggestion for anyone else, I would have liked to slightly angled ends, ie trapezoid shaped in plan view, as all this metal flexes here under load no matter what we do, and the full straight across welds at end of your reinforcement are a prime spot for future fatigue cracking, if they ever begin. The longer weld of an angled end would spread out that stress concentration. Alternatively, the ends could be concave or convex shaped or even not or just partially welded, leaving the welded (upturned) sides, that are much longer, to absorb the stress. The issue with only partially welding the ends however makes for a good spot for water intrusion and its trapping leading to eventual rust issues.
All in all, I give the project an A- if asked.
There is some market potential here, that meets a need and works.
Oh, and don't use your grade 8 bolt as a grounding lug.
While we are on the topic, anybody seen or have a pic of what the threaded insert inside the rail looks like or size?