Jamie, the stock filter is 65 mm long and 68 mm in diameter. No gain from making it fit vertically Vs horizontally. There are compact filter relocation fittings that would allow you to move the filter someplace else, but you would need to source those at a hose shop and get the fittings you needed to go the direction desired. Most likely right angle 90˚ fittings, then some swaged hose assemblies to run to the filter adapter that would need to be mounted someplace.
The trick is where to mount the filter adapter. Once you figure that out, getting the hose assemblies made to connect the two is less of an issue, but you need to pay attention to where abrasion may occur and protect the hoses to avoid that.
I've made various remote oil filter kits for different vehicles that had hard to access filters. The Super Ten with a skid plate does offer some challenges. One of the issues is that most oil filter relocation kits are for larger filters. It's considered desirable to have a larger filter in auto applications, but not so much for us with the Super Tenere. Space is an issue, as are mounting locations, accessibility and protection from debris.
edit: Looking at things, I may be able to make something up that would run the filter horizontal, facing to the left side, which would potentially solve your issue, but not make the filter accessible w/o removing the skid plate with the ACD unit. On the Rumbux, it might actually be possible to remove the filter with the skid plate in place, but you'd still need to remove it to get to the drain plugs. I'm thinking it may be possible to mount the new filter base to the front extension on the oil sump that the oem skid plate, (and AltRider unit), bolt to. Just need to play with some parts and look at hose routing. I'll look at a vertical orientation too, but not sure about that, as I'd prefer not to have the filter pointing up, for air pocket concerns.