use an android emulator. you can get some chrome apps or use something like bluestacks (what i currently use) that can play apk files, after that you just gotta download the steam app apk file and login.
you will have to wait a week before the trade hold is lifted but hey, looking ahead
Solo-queue's actually pretty fun, but it might just be because my luck with teammates is amazing.
Though even when I get garbage Silver Elite Cyka Blyat teammates, staying positive can lead to winning the match 16-14 after losing the first half 3-12 (this actually happened in a recent match of mine).
Anyway, I was bored: