I did it in January, funnily enough with a Trek Hybrid (7.3fx). British Airways, Glasgow to Orlando via Gatwick (return). BA will take the bike as part of your check in baggage allowance, but it counts towards your 23kg. So in my case the bike (which must be properly packaged with bars turned inwards and pedals removed) weighed in about 21kg, which meant I had to take everything else as hand luggage - which is quite a generous allowance and goes by size rather than weight; the only weight stipulation being that you have to be able to lift it into the overhead locker by yourself.
I had no problems with anyone asking me to deflate tyres, which I hadn't done because I wanted to keep 90 psi in them, which I would struggle to get with a hand pump; so unless you plan to carry a track pump just ignore the "must deflate tyres" bit - it's nonsensical anyway.
The bike survived the trip unscathed in an Edinburgh bike Co-Op bike bag which was on special offer price at the time.
Here is the official BA info on carrying sporting equipment.