I completely understand! 🙂
Another option is to get an 'in-between' Mac - something that'll easily connect to the internet and/or your Mini, but also connect to your SE. An older, pre-USB PowerMac would work great for this. It can connect to the Internet without any trouble (for downloading older SE applications), but still has LocalTalk ports for easy networking to the SE. In this case, you don't even need to futz with floppies. With a little patience, you can probably snag such a system for free.
The only problem is that this is how old Mac collections grow seemingly out of nowhere. 😉