The keycaps will only mount to Alps type switches. The only company making these now is Matias. They have three offerings, of which you have already two: clicky and tactile quiet. They also offer a much lighter, linear switch that is not going to cover your needs: they barely make any sound and have very little resistance to being depressed.
So you could turn your quiet click into another clicky version exactly like the one you have but not much more. You’d do that by buying a set of clicky Matias switches and replacing the ones you have with these. Then you’d basically have two clicky keyboardios that use the exact same switches.
The only alternative you have is to buy a used old keyboard that has the original Alps switches, of which there are several variants (90s Apple used them a lot for instance). You would then desolder them and transfer to the keyboardio. But before you do that do check that this is feasible because I’m no expert and maybe this is technically not doable. And that could be costly, mind you.
All of this is because of the shape of the stem where the keycaps are fit: Alps switches have a unique shape for this stem, so any other type of switch will be incompatible with the keycaps of the keyboardio. If you pull out a keycap you’ll see that the stem it’s mounted on is a horizontal rectangle. Most switches sold these days have cherry type stems, shaped like a cross. Your keycaps won’t fit this shape.
Alps were popular twenty years ago but now they are vintage stuff. Their reputation is very high so I guess that’s why we have them in our keyboardios, but unfortunately this makes it nearly impossible to buy different switches to customize key feel.