There are quite detailed databases for thermo and transport data publicly available. For examples Lawrence Livermore National Labs (LLNL) combustion chemistry group has a very exhaustive database available
here. I can't comment on how suitable these databases are for your needs, that may require specific knowledge to your exact problem. I'm not sure what is required for methane pyrolosis (by which I assume you mean the thermal decomposition of CH4 in an anaerobic environment). But, it seems reasonable that the species thermo and transport data should be OK to use, so long as you are within the intended range of temperatures and pressures.
The trickier part are the elementary reactions. It sounds like you only have access to the set of stoichiometric equations, and not to any of the Arrhenius parameters. I would advise caution in taking Arrhenius parameters from some chemical mechanism not intended for your conditions of interest. It is extremely common for the Arrhenius parameters to be optimized for a particular set of target conditions (often some type of engine combustion). The danger is that when you apply the Arrhenius parameters to other conditions there is no expectation that the results will be at all accurate.
It's hard to provide further guidance without knowing more specific details of your problem. It sounds like the first step would be to determine if there are any chemical kinetic mechanisms (including the Arrhenius parameters) that are suitable for your target conditions (so, potentially some more literature review).
Best,
Alex