It is fast for a thyratron, they work by avalanche ionisation so I can't see how you'd get the switching time. A UHF transmit tube would be better in this respect, you should be able to slam it on fast enough :-)
You don't say what your repetition rate is but if you can pull the A-K voltage down to a hundred volts or so you're at 8 kJ anode dissipation per pulse, that doesn't sound too unreasonable. The 80 Amps is going to be interesting, I think you'll struggle to find one that specifies a peak cathode current that high *but* for such a short pulse maybe it'll be ok, meerly depleting the cloud of electrons surrounding the cathode without actually requiring all that much cathode emission. Is there 80 microcoulmbs of charge floating around the cathode? I have no idea.
No idea about the mercury relay, It seems like it should be pretty fast.