If you use EMT (or IMC/RMC but they cost more and are harder to work with) you can skip the grounding conductor, as the metallic conduit serves the purpose.
3/4" EMT would be adequate size. 1" EMT would let you use 4 AWG aluminum, which is about half the price of 6 AWG copper for the same ampacity. Perhaps not that big of a deal for an 18 foot run, but it still might be a win overall. For 6AWG you have to buy the appropriate colors - for 4 AWG you can buy all black (and that's often the only choice) and mark the ends of the wires to indicate which is the neutral (i.e. wrap with white tape or heat-shrink tubing.)
3/4" FMC (flexible metallic conduit) does need the grounding conductor, but is flexible and provides meaningful protection from rodent teeth for the 6-6-6-8. You'd need 1" for a 4-4-4-8 (copper ground, remainder aluminum) arrangement.
- 1" ENT ("smurf tube") would work for a plastic product and the 6-6-6-8 or 4-4-4-8 configuration. (since it appears that the run is not "exposed to damage")
- PVC-40 (since it appears that the run is not "exposed to damage")
would also work - 3/4" for 6-6-6-8, 1" for 4-4-4-8.
- 1" and 1-1/4" respectively if using PVC-80.
There are others, but that's a number of the usual options.
If the run is "exposed to damage" one of the metal options or PVC-80 are needed in the parts where it's vulnerable. Your description of the run does not appear to involve any parts meeting that definition.