Mostly a matter of personal choice, but I can tell you this from the tyres that I have used on the Omega. Falken FK 452, very grippy, but I had to raise the pressures to 32 PSI in the front to get the steering precision right, and the wear pattern was spot on, I guess they have slightly soft sidewalls. They lasted 28K miles and were good in the wet as well as the dry. They got a bit noisy towards the end of their life due to feathering of the shoulder blocks, but not too bad.
Pirelli P7s, tramline like you wouldn't believe and crap in the wet.
Kumho KH11, OK in wet and dry, but wore out in the tread centre and no they weren't overpressurised.
Nexen CP641, good compromise between grip and wear, they are OK in wet and dry when new, mine have 20K on them now and are a little 'exciting' in the wet, the front is a bit wayward when pushed, but at least it only understeers so not too bad. I should say that I am a fairly enthusiastic driver though. At the rear rock solid, maybe it's the weight of the 80 litre LPG tank over the rear wheels that helps.
All of the Dunlops I have tried over the years seem to be OK ish, but not great, the SP9000s seem OK but they wear out quite quickly. I hear that Falken Ziex 912 (NOT 512) are really good as well, but not tried them yet.
Careful with the Eagle F1, I think there are many Chinese copies and German variants as well, and I can't remember which are good. They are slippy when cold so rubbish for the winter.
Continental SP2's are rated highly for the Mig as well.
I have tried Yokohama AVS dB V550's and they seemed OK as well, good in wet and dry and not too noisy, but a bit square in appearance, good response on the steering though, and stiff so something like this may be what you are looking for, but they are a bit pricy.
HTH
Paul