Jack,
I bought my bar from Addco (NFI:
> ADDCO - Performance Sway Bars for Cars and Trucks - Addco <). I don't see anything available for Big Healeys now--they do offer for Sprites--but you could inquire. I've run 185/70-15 tires on 6in/72-spoke rims on my BJ8 since soon after I bought it, and the only rubbing issue I've had is with the R/R tire rubbing on a bolt head on the rebound block, in hard L-H cornering only. I now think the 6in rims are too wide and would go with 5.5" if I ever replace them. As soon as I started driving it harder I started breaking spokes in the OEM, 60-spoke wheels (another example of 'messing with one aspect ...'). I'm not sure on this, but IIRC the Big Healey chassis was designed for bias-ply tires, not nearly as 'sticky' as the radials which came later--first as an option ('Roadspeed') if I'm not mistaken--and which we all drive on now. I think 185s on 5in rims is close to OEM on Big Healeys--my 100 has them--and I wouldn't expect any rubbing unless something is 'off.' Note going to lower profile tires stiffens the suspension as well.
Further to shocks, the ideal is a 'progressive' design, which is soft in the first fraction of travel and gets stiffer the higher the wheel moves. My Mustang has Magnaride, which increases offside stiffness in a turn, adjusting electronically and many times per second. IMO, it rides too stiff for normal driving, with 19" rims and low-profile tires (and no 'softer' setting available). My best-riding car is a Lincoln LS, which I inherited. It's a Jag S-Type under the skin, has near perfect 50-50 weight distribution, has the most comfortable ride and corners well. It also has a lot of 'British car quirks,' but its 3.9L V-8 is silky smooth.