What I've seen with cleaning and lubing chains is that cleaner and lube go into the chain very easily. So easily that it is not a thing to be concerned with. Capillary action does the trick quite well. I soak a spot on a nappy wash cloth about the size of a quarter with Pro Link and hold it against the chain while rotating it slowly. I do this twice for a 226 link recumbent chain. It is incredible how well this gets lube into the chain. After the lube solvent dries, you can feel how well the chain is lubed by running your finger back and forth on the chain rollers. Smooth, well lubed action.
This notion about it being hard to get lube or solvent in there is myth. bk