Hell yeah I would. If I have some kind of superpower, the first thing I'm going to do is experiment with it. Now you're asking me if I'd take an offer to get paid for that, and have plenty of actual science equipment, and have a bunch of other guys do most of the actual work besides super-whatevering? Where do I sign?
And for the family/friend, yes. Unless their brain was going to be cryopreserved (in which case, no brain-dissection, head goes in cryonics box, and the science dudes get the body), any dead body is basically a lump of meat, science is just about all you can do with it.