Hailey Quarantine Zone mission Anti-Bunny?

Not sure if this is just me, but the mission where you save Hailey and do the invasion mechanics for the first time is very difficult playing as Bunny, whose whole shtick is continuous movement but the mechanics make you stand in place getting blasted for 5 seconds at a time?

Additionally odd is the decision to not allow you to do that mission as a party, which would mitigate this issue if I could play with a friend who does play a standstill character like Ajax.

Any advice for getting through this, or is it just "play something other than Bunny for this one"?