Steve
Sorry to hear about the problem you are having. It is increasingly common.
First off, it sounds as though the initial hip resurfacing was not in fact a Birmingham (which has a 180 degree cup), but instead one of the imitators, most of which have a less-than-180 degree cup. Many of these have been withdrawn from the market. All large head hip replacements, with a standard stem, trunnion, and large metal head articulating with a metal cup, have been withdrawn. Metal debris can originate either from the trunnion or from the top outer edge of the head / cup articulation (especially if the cup was implanted a little 'vertical', or if the cup was less than 180 degrees.)
The Birmingham Hip Resurfacing itself has a good reputation, if implanted in a surgical unit which is doing a reasonable number of them.
So, where to go from here? Patients who have a revision hip are at higher risk of dislocation. You have to take the decision yourself whether you are prepared to take the risk for any given activity.
If it was me, I would want to know more details about the arc of stability that your personal hip has. Your surgeon will have documented this at the time of the revision. Or, you could ask your surgeon to 'screen' your hip, moving it under the view of an image intensifier.
Dislocation is either posterior or anterior. Yours sounded as though it was posterior. It is usually the combination of hip flexion (bending over) with adduction (leaning or twisting towards the affected hip) that leads to dislocation. The highest risk of this occurring while sculling will be while entering / exiting the boat. You can reduce the risk by lowering the area of deck which you stand on. Boating from a shelving bank is probably also safer than using a landing stage. I think sculling is relatively safer than rowing.
Hope this is of use.
James