Tony, why don't you just get an H&R scope rail or one of the other nice mounts shown in the FAQs, look for the pics, they're hard to miss if you check out the entire page!!
The Williams WGRS(BC sight) sold for $18 from H&R, I suspect it's more from Remington now, but it isn't $86, see
Peep and Firesights in the FAQs for links to all of the Williams sights that work on all H&R rifles.
Tim