Edit: I left my original answer below, but I actually realized a better way to do it.
Take Draft Horse Measure, and buy two horses. Mount one, and use Draft Horse Measure, tethering it to the second horse. Dismount (Draft Horse measure affects your mount, and lasts for a day) and mount the second horse. Use Draft Horse Measure again, tethering to the first horse. Direct each horse to move reflexively to Essence times three yards west of the other horse. Repeat, always reflexively. If the horses begin to panic at the blurring speed, use Master Horseman's Techniques (Spirit Steadying Assurances) to calm them.
As far as I can tell, this allows you to reflexively move anywhere in Creation for three charms and sixteen motes. (Horses can swim, even while being ridden!) No Storyteller in their right mind would allow this, but I can't find any RAW that prevents it.
In unrelated news, I got whacked with the rulebook tonight...
What you'll need:
To start, be a Lunar with an animal form that can be ridden and can fly. (A pegasus or roc, perhaps.) Take the Allies background with a high enough rating to have your Solar mate hanging around; they're going to do all the real work.
Your Solar needs to be of at least essence 4. (Twilight caste probably, though any caste can do it.) They take Ride 5, and follow the Ride charm tree until you reach Draft Horse Measure. They also need to take Occult 3, and have Terrestrial Circle Sorcery and the spell Infallible Messenger.
One of the two of you needs to have at least one dot in Followers, and a follower stationed on the far side of creation. He's named World, for reasons which will become clear.
The Solar mounts you in your animal form, and begins casting Infallible Messenger. Once the cherub is summoned, the Solar directs it to say hi to your follower. The cherub "is able to travel from one point to another in creation or Yu-Shan nearly instantly. It travels hundreds of miles an hour and can traverse the world in less than a day."
The Solar uses Draft Horse Measure. Since it's reflexive, he can do it fast enough to target the cherub before it gets more than Essence*3 yards away. Once tethered via Draft Horse Measure, his mount may "effortlessly keep pace with the target, moving freely to any point within (Essence x 3) yards in order to maintain the minimum distance required for this Charm. The Lawgiver’s mount becomes tireless so long as Draft Horse Measure is in effect" and therefore follow right behind the cherub. Once you hit water, start flying.
Given that Draft Horse Measure has a duration of one day, and Infallible Messenger explicitly says it can traverse the world in less time than that, you should arrive at the far side of creation in less than a day- perhaps a few ticks after the cherub says Hello World. Step three is therefore "profit", as it should be.
Caveat the first: I could have sworn I'd seen a lunar charm that allowed you to run on water, but I can't find it at the moment. I'm hoping flying counts as close enough to running for your purposes. Alternatively, you mention you'd found some artifacts that let someone run on water- put those on. I'm stumped on this until I can get ahold of a lunar book and find that charm.
Edit: Just bounced this off my Storyteller, and she pointed out that since you can swim, nothing says you can't swim while your Solar mate rides you and keeps using the charm. Swimming is not running, though probably close enough for your purpose. The real problem with this is that plowing through water at these speeds sounds like it should prompt for some kind of damage you'd have to deal with, though I don't know how much. On the one hand, given the tether you should start skipping like a rock over the sea. On the other, bellyflopping off the water fast enough to create a sonic boom doesn't sound like much fun either. Boost hardness accordingly.
Caveat the second: This requires two exalts working together. It's not clear that this is against your rules, but it could be seen as cheating. If you count riding as close enough to running for your taste, then the Solar can do this on any mount that can cross water; DHM does't care how fast the mount normally moves.
Caveat the third: This is much slower than other methods suggested, at some unspecified amount less than a day. (Infallible Messenger is a clear case of writers can't do math (warning, TV Tropes link) since something moving at a thousand miles an hour could barey circumnavigate the earth in a day. If the cherub is moving at only hundreds of miles an hour, it should take much longer to cross Creation.) On the other hand, you can pull it off any time after essence 4, which is a shoestring XP budget next to an essence 10 behemoth.