| Are you asking people to help you describe your music, in the way of ascribing it to a genre or something like that? Or are you commenting about the general difficulty of describing any art or creative idea in words?
In brief terms, for promotional purposes, I would describe your band's music as HARD ROCK. I know that you asked for descriptive phrases that specifically don't contain those words; however, a thing is what it is. Your music is basically Hard Rock in the vein of Godsmack or thereabouts. You won't really get far calling it something that it isn't. Best just to be honest.
Any further description leans into the area of Marketing/Advertising language, which is descriptive language meant to pique a consumer's interest. Words and phrases like 'Honest,' 'Soulful,' 'Hard-Edged,' 'Gritty,' etc, are commonly (and sometimes unfortunately) used here.
You mention that you're not the best at describing the art that you create. Most musicians and visual artists aren't, so you're not alone here. Most of us aren't really 'word' people. The only reason I have a facility for words is because I've been paid to write ad copy. (Funny how quickly we learn things when offered money!)
The best art schools - especially the ones that concentrate on commercial art - teach students to describe their creative ideas verbally. They do this because commercial artists often have to describe to clients what it is they're going to create BEFORE they create it. The reasoning is that a paying client will want to know that what the artist creates is going to promote their business objectives.
Despite what purists say, music is a commercial art. It's produced and sold to people who 'consume it.' It always helps to be able to describe one's art in clear and succinct terms.
Here's a common exercise: grab a piece of paper, a pencil, and sit down with your band members. Come up with a list of single words or short phrases to describe your band's music, attitude, reason for existing, etc. Come up with at least ten things. Then put those words/phrases into short sentences. Try as hard as you can to make those sentences hard-hitting and interest-grabbing.
You'll be surprised at what you come up with, and you'll be even more surprised at the facility for words you didn't think you had. And BTW - if you DON'T do this, any record company that signs you WILL do it - and you might not like what they say. Better to write something YOU believe in than have some stranger retro-fit your band into some kind of recycled marketing blather. | 
