Is it wise to push a 7 1/4?

It's not gonna snap like a dry twig unless you seriously hit the tires hard..not likely with street tires. The spiders are the weak link, and anything you can do to equalize traction is going to work in your favor. I would overinflate the driver side tire...45-50 psi, underinflate the pass. side...to about 25psi. Pile anything you've got in the trunk behind the pass. tire. You could also cross weight the chassis a bit by cranking up the driver side torsion bar....figure raise that corner of the car about 1.5 inches. All of these things done correctly will net the same basic effect of having a SG in the car and greatly increase the chances of the 7.25 living.
BTW, if my car weight was less than 3200 pounds wet, I had a 350-400 horse engine, a stock converter and was running normal street tires and nothing deeper than a 3.23, I would be working to make the 7.25 as bullet proof as possible and sticking with it. 50 pounds lighter and substantially less torque to spin than the 8.75.