.. couple of thoughts ...
if you are above VMCG then going to full power at V1 should be ok
maybe yes, maybe no. First point is that you won't know what your margin on the "real", as opposed to certification, Vmcg might be. Second is that you add some dynamics in the engine thrust run up .. which might bite you on the tail. I did the site investigation on one fatal where just this consideration was the most likely circumstance for a Vmca departure just after lift off. If you are intending to run up the thrust .. do it slowly. Obviously the concern reduces as the margin above Vmcg increases ..
Contamination has no effect on VMCG.
Given that the problem is one of directional control and that any crosswind is going to affect both the turning moments and tendency to slide laterally .. I would be VERY interested in the extent and effect of contamination in general. Caveat - I have no information on the technical basis for whatever your manuals for the aircraft say specifically. On another tack .. why erode your limit margins if you don't have to do so ?