Being on a motorcycle and young is a recipe for a disaster I'm sorry to say, and your parents are probably right on this. When I was 28 or so, after college I decided to buy a bike. During my motorcycle training (through a professional organization) the instructor said that it isn't "if you'll go down, but when you'll go down".
Now wearing proper riding gear and riding sensibly is a big part of safety, but there are two major things you need to think about:
Your personal maturity level. If you are subject to showing off (as young people do so often), a motorcycle is the wrong place to do it. Aside from that a lot of things can affect how you ride, not just showing off, but if you are irritated about something you may end up riding without your mind on the road.
Everybody out there on the road is trying to kill you (something I kept in mind as I rode). If that makes you mad, such as when somebody cuts you off, you shouldn't be on a bike. Take a drive a few times on your route you would travel and notice how often you witness a car doing something wrong, cutting you off, getting too close to you, talking on the phone, drifting into other lanes, stopping short, etc.
So, being a parent I would agree with yours. The best time to get a bike isn't while you're trying to finish (or start) college and get your career going. It is after you have those things and you can think clearly and responsibly. I'm sure you are a reasonable, responsible young adult but the statistics are not on your side.
Now for my personal story. Like I said, I got a bike around 28 years old. Took a professional motorcycle course and bought good safety gear (gloves, helmet, jacket, boots). I spent a lot of time commuting in Houston traffic without too much incident (but a lot of near misses). I felt that I was a safe and proficient rider but one day I got cocky and gunned it on a back road near my house. I wiped out at near 80mph. I broke 3 ribs, collapsed one of my lungs, broke my collarbone in 2 places and broke my tibial plateau (right knee), along with quite a bit of road rash (jacket rode up and I didn't have my gloves on).
I was in a wheelchair for 3 months. It cost me over $18,000 in out-of-pocket medical expenses (covered expenses exceeded $75,000). I had surgery to repair my broken clavicle which resulted in a severed nerve and no feeling in my left bicep. My knee bothers me daily and some days prevents me from doing too much. I was around 29 when that happened and now those are things I have to live with for life.
So to answer how I "found a way out"... My parents were similar to yours. My friends/other family had motorcycles, four-wheelers, and snowmobiles yet I wasn't able to. My parents refused to let me purchase those things. The way I "got out of it" was to wait until I was older, living on my own, and self-sustaining. It can be painful to wait, but it really isn't worth pushing your relationship with your parents. Wait this out, you'll get it, or you'll realize later in life that it was a good thing you didn't.