If the analysis is for a tradeable product, then look for a standard method, usually ASTM.
The most common used to be the dew point meter ( eg Shaw, Stanhope-Seta etc., ), which probably comply with ASTM D1142 or similar.
Alternatives are the inline moisture meters ( careful to ensure the sensors aren't poisoned by any components ). A Google search on ASTM D1835 or D5454 might be a good place to start.
You may be best informed by asking the ASTM to point you to a member of their LPG subcomittee, to discuss the options.
If it's just for research, or internal, then...
You could keep using your current system. The critical aspects are removing tramp moisture ( caused by condensation ), and using a moving piston sampling cylinder to obtain representative samples.
When I was measuring water content of vapour and liquid, for in-house research, I had a stream of nitrogen going through the titration vessel and used a needle valve to to replace it with LPG vapour.
It was a very time consuming process, as the water content was very low, and we found a Shaw Moisture Meter ( dew point ) was much faster, even allowing for the initial equilibrium time when used in batch mode.
There has been a lot of work on using indicating tubes, as a simple field test for impurities ( including water content ) in LPG, and I think there is a draft/final ASTM Dxxxx method for their use on gaseous fuels.
If the ASTM method is not obvious, there was a comprehensive SWRI report in the last few years ( possibly for the Propane Council ) which should be available on WWW, as I recall reading part of it online for free.
Please keep having fun,
Bruce Hamilton