"Most professional SEOs of my acquaintance would note that, if one has a site burned, redirecting that site to a new site is a fairly risky endeavor for that new site."
I don't think so. If that were the case (and we were competitors) then all I would need to do in order to hurt your rankings would be to stuff a website with a multitude of buy-viagra-penis-enlargement-type of spam/malware and then 301 to your site.