Why not try and take advantage of Parental Leave to reduce the workload. You can have up to four weeks per child per year that is aged under eighteen.
It reduces your headline salary by dividing your annual salary by 365 per day and it reduces your tax liability if you are over the £100k mark. Your pension contributions may have to reduce but depends if you are in the NAPS or the DC pension
You should seriously explore all these options before you even consider throwing in the towel with BA.
Once you've left there ain't no going back!
If it was a regional or overseas base with EZY you were after then let us know and we could probably give you a rough idea as to wait time to get in.
Do not do anything rash!