I did the same with a black overlay. My stock chrome H had the clear coat flaking off. Bought the red J's racing one, which is a fake product but eh, and put a black/chrome overlay on it.
The J's racing ones all have a chip missing out of the bottom of the emblem from where the break them off one of those plastic mold trees. It's not noticeable once its on. Let me see if I can find the pics I took.
This one "should" fit. It not you may need to tim/adjust either the stock H of the adhesive on the back of the emblem. I used a dot of superglue.
Overlay for stock look:
This is the bottom edge. You can sort of see the "chip" missing from the lower edge. Its very slight.