There is currently a choice of rim widths ("mouth sizes") that following the tables I found on the web would pass for my 2.35" (27.5" diameter) tires. In general the tables seem quite liberal, assuming a wide range of width would work.
Assuming it is the same tire, would it be easier, more difficult or makes no difference to mount it on a wider rim vs more narrow? I have a rogue rim difficult to mount and suspect maybe there is some extreme mismatch of some important parameter.