Favoured option at the moment is drive to Portsmouth with bike in car, park up car, take bike on ferry to Ouistreham, train to Nevers, cycle Loire a Velo route to Nantes, train to St Malo, ferry to Portsmouth, drive home... But I have already done that, in opposite direction, a few years ago.
Looked at a fly drive to Seattle, crossing the border to visit friends in deepest British Columbia for a few days, but... flights £700, then car hire for 2 weeks, £1100 😵😵 . Apparently car hire is expensive as hire companies sold off most of their cars when covid took hold, and now due to shortage of new cars they cannot replace them! So have ruled that one out. Hotels on top of other costs obviously.
Another option which looks good and surprisingly inexpensive is fly to Tokyo for 2 weeks and get a room in an Ibis hotel, or similar. I was in Japan a couple of times in my sea dog days and would love to go back. Significant birthday looming, so now might be the time...