You could drive to within 5 miles or so then park in the employee section of a grocery store then ride the rest of the way. A short chat with them manager should clear things, he'd probably be happy to have a potential park out of the way.
Of course, the hour drive before the ride would make for make for a quite long total commute time. That adds up to quite a long day.
Eugene can be quite weird to get around in. It's one of those towns that seems to have highway expansions added "as needed" without any apparent long term planning.