I've got a Mk IV with DHP - I'm running 245/50 17" Pirelli PZero Asimmetrico. I think that this was the original tyre size. A while back the guy who designed the DHP, posted the following:
Hi, I am the guy who did DHP spec for LS 400. For reference - Spring rate + 10% only, Height -10mm all round, rear anti roll bar + 1mm to aid turn in. Tyres Pirelli P Zero 245/50x17 Jaguar spec( XK8?).
No change to dampers. Car was done to please Lexus MD, but dealers liked it so we began to sell it !
Ride wasn't bad, but clearly firmer than std. Any other tyre make much worse.
If you want ride quality back, just fit standard springs again.
Note- front suspension quite close to bump stoppers, so ride will suffer if springs have sagged with time.
Hope this helps.
(The full post has some more useful info. ).
Based on my very poor maths you've got another 1.25cm on your tyre radius (225mm * 55% vs. 245mm * 50%). I've never had mine scrape on the arches but people have mentioned that it is *really* close, so this could be your problem.
I suspect that someone has gone for your current size based on price. On www.mytyres.co.uk there are only 4 245/50 tyre options that start at £162 each but you can get 225/55's at a third of the price.