Use the bore guide. You'll be stroking in the bore and every time a rod hits barrel metal, that's not "good." As long as the patch or brush is able to contact the throat, you are doing fine.
Don't coat the chamber. In fact, I'd take special caution to make sure nothing spills in the chamber. It might help if you set yourself up to point the rifle down enough to make sure everything leaks out the muzzle -- down 20 degrees at least, even 45 degrees would be better -- and if that's unusual for you, the bore guide will help you.
Sinclairs have the O rings, right? That's a good thing.
I'd carefully use a long Q-tip or swab to make sure the neck area and shoulder are "reasonably" clean of any spillage. Before you put the sauce in, practice how far you will need to poke in the swap to catch the excess.
Good luck.
