I'm a big fan of this case

It has plastic, not silicone, but it's very good.

I use this one that holds 24 carts:

https://www.amazon.com/HORI-Game-Nintendo-Switch-Officially-Licensed/dp/B01NASY99Z/ref=sr_1_3?keywords=hori+game+card+case+24+for+nintendo+switch&qid=1676128600&sprefix=hori+24%2Caps%2C179&sr=8-3

There's this one made by HORI: https://www.amazon.com/HORI-Game-Nintendo-Switch-Officially-Licensed/dp/B01NASY99Z/ref=sr_1_10?crid=3AQVMYLZIIE93&keywords=hori%2Bcase&qid=1669450713&sprefix=hori%2Bcase%2Caps%2C89&sr=8-10&th=1

However, some reviews had issues with the slots being too tight and breaking the cartridges.

Maybe a case with soft lining would work better, like this one:

https://www.amazon.com/JINGDU-Nintendo-Shockproof-Portable-Suitable/dp/B09TD2JXQV/ref=sr_1_3?crid=2NBKX86HVEJL3&keywords=soft%2Bcase%2Bswitch%2Bgames&qid=1669450867&sprefix=soft%2Bcase%2Bswitch%2Bgame%2Caps%2C110&sr=8-3&th=1

I prefer the cases like this:

https://www.amazon.com/gp/product/B099W765N4/

over these :

https://www.amazon.com/gp/product/B01NASY99Z/

because the later always feels like I'm going to break something removing games.