Things to consider:
- Will the AF of the 50-135 be fast enough for you? This lens is known to be a relatively slow AF performer.
- Can you buy extended warranty for the 50-135? This lens is know to have (even repeated) SDM failures.
Can you use a monopod? If so, the added weight of a 70-200/2.8 shouldn't be problematic.
Do you have any way to test which focal range you'll need?
Also, you might want to consider buying a used lens. A used 70-200/2.8 should give you unrivalled value for money. The 50-135 is a gem optically, but with its current price tag, it isn't exactly a bargain.
As to which 70-200: I cannot speak from personal experience but from what I've read, I'd look into one of the Sigma 70-200s.