http://www.engineeringtoolbox.com/thermal-conductivity-metals-d_858.html
Ti and SS are in ten same ball park for thermal conductivity. Aluminum is a better conductor but doesn't have the strength.
Sense thermally they are similar, you will get a weight savings with Ti over SS.
density of ti = 4500 kg/m^3
density of SS = 7500 - 8000 kg/m^3
Yield strength Ti = 940 MPa
Yield strength SS = 520 MPa
so almost 2x as strong and 1/2 as light...You would work that into your hoop stress to determine the minimum can thickness for a given pressure. But if you read those threads, the machined bodies are already machined to a suitable thickness. Really you just buy the parts and assemble in your home.....and some finishing touches.....it almost equates to an 80% lower.
presumably you want it to dissipate heat quickly, but the conductive heat transfer / energy absorption will take longer than the 100 microseconds it will take for the shot to return to atmospherics pressure....that is to say, the concern with heat transfer is just so you can touch the can after a string of shots, it most likely has a negligible affect on reducing the sound pressure level....