Is the machine you must use for this not ideal for the shot?
Or is it that you have way too many particles in your viewport?
A rule I always stick with personally is to only emit a very small amount of particles just to get the sim to ACT correctly, then I'll up the rate as needed for the final render to get the LOOK I want
Most times this is fine.
Sometimes, however you have no choice, lol.
Israel "Izzy" Long
Motion and Title Design for Broadcast-Film-DS