Hey my friend, you shouldn't feel like selling yourself when playing a non sloppy solo. Don't you think it has to fit the song? Most listeners are pleased with accurate solos and clean playing style. You don't have to play like a wallstreet banker, be yourself. It's not black and white.
It sounds like you intend to play punky and sloppy just to be different and rock and roll by all means, inda like "yeah I play sloppy that's how a real rocker plays the guitar!". I think you are more true musician than you think and a musician loves his song as much as he loves his solos. Bring the two together with whatever suits best and don't push yourself into a category :-)

You mentioned Hendrix. Listen to his studio recordings. They were very accurate. Live was a different thing with Jimi and I know a lot of folks who feel that Jimi also destroyed some nice musical moments with his sloppy endless solos. The best live moments are maybe the stuff that Jimi played during his two Berkely concerts and what he played live at the BBC. But go back and listen, he rocked, but he was also more accurate than during other live recordings. Also the Band Of Gypsys live album contained fast and accurate playing, although some of the solos are too long for my taste.

Deeaa, I get your point and understand what you are talking about, as I for myself am a player who is not the most accurate one. Also I had to live with the fact that in some cases you gotta play what a man has gotta play and stop arguing and fighting for your style :-)