Apologies but I'm not quite following. What do you mean exactly when you say you're satisfied with the recording levels? Does that mean they're where they should be i.e. the loudest parts stopping just short of 0db? Or does that mean they're loud enough to give adequate signal level on the track for anything you'll need to do with it during mixing but not necessarily as loud as it could be in the track?
I'm confused because in theory anyway, if the level were where it should be and you then added more gain, you should probably then end up with some signal clipping. Since this doesn't seem to be the case, I would suggest that your signal level probably wasn't where it should have been to begin with.
This further leads me to speculate that if your recorded material was sitting fine in the track at that lower level with no noticeable room noise, I would go ahead and set the gain at the higher level where it really should be. Then just pull the track level back during mixing and most of your room noise should fall back below the noise floor where it was when when you were recording with less gain. If any little bits are still creeping through, you should in most cases be able to control that with a noise gate during mix down*.
Of course if you're trying to record something like an acoustic guitar or a ukulele or even a voice that will be out front with no other instruments behind it during part of the track, you may find the only way to really get that down is to find a quiet room somewhere else in the house, get some long cables and run your mics and headphones there. Having someone else engineer for you is pretty much a requirement in that case but the results are usually worth it.
*I'm not a fan of using gates during tracking. Its way too easy to think you've got good stuff down during the session only to realize later during mixing that your gates were closing too quickly and you've lost important parts of the performance which you can now never get back.