Thanks for the feedback spiceBar!
The mod was fun and an overall success. The most difficult part was determining the thickness in which the clacking would be nullified but still preserving the key travel distance. I think I succeeded for the most part but there were still a few keys on the Hi-Pro that continued to clack. The 55g turned out perfectly and it's now almost as good as my Type-S.
I have a white 660C on the way and will probably do the same mod to that as well. I wanted to thank you for your in-depth write-up. It was easy to follow and incredibly informative. Once I find the nerve to reopen the Hi-Pro, I'll try to fix the clacky keys again. For the time being, the thought of rubber does and springs flying around everywhere is not an experience I want to relive for a while. Thanks!
It is possible that the 104UG has keys that are more heavy that the RF87U for example. In this case, they gather more kinetic energy on their way back on the upstroke, and the slider hits the housing harder.
In this case, a slightly thicker landing pad will help.
For this reason, you should test the sliders while you are putting them back in the housings. Push them with a finger so you can hear if they still click on the upstroke. I have used this method and found out early a few pads that were not thick enough. It's better to find them out while you are re-inserting the sliders than after the keyboard has been completely reassembled.
But honestly I have done the same mistake myself: reassembling the keyboard just to discover that one switch has a problem, and that I must disassemble the thing again.

When things go wrong with a Topre board, there is a simple way to put everything back together:
- Take the plate (which holds all the switch housings) and turn it upside down. The sliders must already be in place.
- Try to find a way so the sliders do not touch the table. You need to put several objects to lift up the plate from the table.
- Remove the domes from the PCB and put them in the housings. Easy.
- Gather all the springs and put them in the domes. Easy, but be warned that the little bastards love to entangle themselves and it's easy to see one spring when there are actually two! You will always end up missing at least one spring, and don't worry, it's not lost. It is frolicking with one of its friends! Now you need to find in which dome they are doing their stuff and put an end to the party. Oh, and sometimes you find three in a dome - I guess it can be called an orgy then. I'm pretty sure some of these springs are male, some are female. That's a major design mistake of Topre. Or Topre realized a long time ago that some of them are homosexual anyway and that it's fine to let them have some fun... But I digress.
- Put the PCB back on the plate. Done. You can secure your win by putting back two or 3 screws. Then you can flip the assembly, plug the cable, and test the switches.
I have learned the hard way that trying to put the springs back under the domes is a lost fight, as soon as you have more than 3 or 4 or them trying to escape. Even just one, depending on its location, may drive you mad.
So don't fight. Cool down, take a deep breath, grab a beer, and use the method above.

I did not invent the method. Someone told me about it on this forum, but I do not remember who. Credit goes to him/her anyway.
Something I plan on doing in the future, but have not tried yet, is to glue the f***g domes to the PCB. I need to use a glue that can easily be washed away, maybe just some 3M paper glue stick. That would help tremendously if I need to reopen the keyboard later.