You can use an encoded target=frame to pass it down as many levels as you want (encode the ampersand and the equals sign, and of course the percent sign for things that arent at the immediate child level). The '90s sucked for web dev, but there was almost always a (scary and hackish) way.
But which mechanism would do the substitution of those parameters in the HTML of the child frame? I still fail to see how it would be done without either Javascript or server-side code. (And I did web dev in the 90s, with frames, but apparently was not evil enough to think of such stuff.)
