I hate initiative rolls in most games. Replacing it with a card draw certainly hasn't improved it, and I've basically abandoned the RAW way of doing it since session two.
What I use instead is various hacks of these ideas, to T2k:
https://www.traaa.sh/no-initiative-a...for-mothership
(his list of WHY is like I wrote it myself)
And this, which is also so-simple-it's-genius:
(sorry it's so large!)
If it really comes down to it and I need to know "does X go before Y?" then I do a skill or CUF roll to resolve it.