Ron,
I feel your frustration, Buddy! Looking at the tire charts, your current slick is 29.5 tall, 11.3 section width, and 9.0 tread. We ran a similar drag slick on my 67 Belvedere with no rubbing issues, but when we would switch to the 275/60/16 street tires my brother had on it, it would rub in corners, and when loaded. I didn't want to change tires on Drag Week 2012, so I went in search of a multi-purpose drag radial, and ran into exactly what you are talking about.
My first concern was no rubbing, so I settled for Mickey Thompson ET Street Drag radials in the 255/60 size. The section width of 10.1 and tread of 9.0 are great, but they are miserably short at only 27.1! The 275/60 MT's are 28 tall 11.0 section, and 9.5 tread, so technically they should fit anywhere a 30X9 slick would, but I have seen guys really struggle to get that tire under many stock tub Mopars. What we really need are Drag Radials in a 70 series, but controling that large of a sidewall seems to be a problem for them.