I think this is really the only thing there is, without assuming there isn't "complete control" over it. You either sacrifice total invisibility to be a floating pair of eyes (or at least 1), or you're blind but totally invisible. Making it truly impractical even if you have full control over the ability.
Great take on this in a D&D setting where a players character was able to roll incredibly high to notice an invisible person. The DM came up with this solution on the spot and made fantasy and logic weave together for a believable solution and an awesome situation:
If everything but your pupils were invisible, and your pupils were 90% invisible, it'd probably be fine. Most humans can comfortably see with 10% of the light.
It depends on what kind of "invisibility" you mean, if you'd be able to assume the temperature and texture of any material you'd be invisible but could still see.
If you mean invisibility by breaking light you can't really say, since we don't yet know how we could use this to make a human body invisible, thereforce we don't know the counter meassures yet
if you’d be able to assume the temperature and texture of any material you’d be invisible but could still see.
That's not invisibility just camouflage.
Like, you can have the same texture as the wall you are standing in front of, but you'd still show up as a human-shaped piece of wall protruding out. Or if a bug was to crawl on the wall behind you, you'd block it's view.
Assuming that the invisibility is based on a physical property. You could also be psychically invisible where you manipulate others minds so they don't see you.