No question the watch dial was refinished. The sub-dial is a giveaway (e.g. the missing snailing and rounded edge), the absence of sharp fine printing, the sun-burst dial texture is poorly rendered, the mis-aligned minute markers, poorly attached applied markers, and the font that is much more modern than the watch. Such refinishing was common to restore dials that had become aged or damaged.
Most likely this watch did not have any particular model name at the time it was made. It is a US-cased Omega from the 1950s, given the reference H6577 by the case maker.
Watches are often insured for a hypothetical retail replacement value, which is typically substantially more than the actual market value of the watch. I think you could use the asking price of a relatively similar 14k gold vintage Omega as a guideline. For example, there is a dealer selling a 1950s hand-winding US-market 14k gold Omega here:
https://www.omegaenthusiastltd.com/product-page/1953-omega-gent-s-dress-watch. That watch has the original dial and would be worth more than the OP watch as a collectible, but I think it could be seen as a plausible insurance replacement, especially since the gold represents much of the value these days. Of course, the value of the gold depends on case weight, and we don't know the size or weight of your watch.
Edit: Some googling suggests that the case maker's mark may correspond to the Lapwell Watch Case company, but I am having trouble finding something definitive.
