the easiest options are probably going to be getting someone/thing else to read your SID for you. you could either connect to https://pkmnclassic.net/gts/ and arrange to trade over GTS with someone that does have PKHeX access, or send a caught pokemon from the cart up to switch and find a trade bot to read it for you. there are also some tools like entralinked that can connect just over wifi and might let you pull pokemon files that you can read SID from, but i'm not entirely sure.