I am currently experiencing a similar problem with the front end of my Bird while accelerating to 60 kph after that all good. I replaced wheel bearings, fitted tapered sterring head bearings, changed fork oil, did a wheel alignment and it was still there. This was driving me nuts as I have never had a problem with wobble. Then i rememberd i had punctured the front tyre the day after it was fitted (couple of months ago) and due to circumstances it was tied down in the back of the ute for a day. I had the tyre repaired and thats when the wobble problem started. After I had done the above trouble shooting work I quized the local bike shop as to whether the repair and /or being tied down for a day may have damaged the shape of the tyre turns out there is a slight deformation in the tyre causing my problem, will fit a new one in a week or so and see if that solves the problem.
I have pretty much always run dunlop tyres but have tried others at various times, Bridgestone, Michelin but have always gone back to Dunlop. I found the 220 very good for about 3000 ks then the front would chop out, still had heaps of rubber but felt choppy in corners. The 207 was very sticky handled well but was all but gone in one good hard ride (too soft). I currently run 205s and am very happy with them (above problem exempted), very predictable, completely stable, good in the wet and good mileage, usually about 8,000ks.
Anyway thats my two bobs worth, ride safe.