Geno:
I would xpect Blue Dot to be too fast-burning to achieve adequate velocity without pushing up the pressure. Granted, it's a very slow shotgun powder, but still faster than the fastest rifle powders.

My personal rule of thumb would be to use the slowest powder which still burns completely while giving the required velocity, ie no partially-burnt powder kernels visible in the bore after firing. With the .577, that usually means medium-burning to perhaps medium-fast rifle powders, depending on bullet weight and barrel length.