You can use your passport if its in your maiden name. Just book all
Your fares in the name that's on your passport.
We travelled to the UK last year and my passport was in my maiden name too and we just made sure that everything was booked on the name on my passport and had absolutely no dramas at all.
If you have been married less than 1 yr you can change your passport for free! (I found this out 2 yrs after we got married!)