Since you mentioned Pope by name, I think you can access that land via walk-in without a fee, though they might have a for fee area or two that I'm not aware of. Check the website they have for more up to date info as mine is probably about a year old.
There are also a very very small number of weyerhaueser parcels in Wahkiakum county that are free to access because they have easements to state lands and a deal was made to open them for all, but this is all new and in one area and there has been very little out there about it. Matter of fact, I haven't even seen the official info one which parcels, but from the info wdfw has released I can guess pretty well.
At any rate, most timber companies allow access without fees (almost all walk-in only), but a few of the bigger companies charge for access.
