I'm trying to find out what kind of press would have been used for the Troutdale Champion in Troutdale, Oregon (population 300), which printed for a few years in the mid 1890s. After researching some, I'm thinking they used something like the Washington Iron Hand Press. Finding out for sure will be easier when everything is open once again and I can visit historical societies.
There were a host - literally - of newspapers published in Oregon starting in 1846, some even continuing to the current day. The East Oregonian is an example of one still publishing that began publishing on Thursday March 1, 1888, apparently on broadsheet.
The wide variety and great number of early papers strongly suggests that one cannot make broad assumptions about them all, but must rather consider the specific circumstances of each particular publisher and community.