First, when a horse pulls through or 'ignores' the bit in a running-away fashion, it is nearly always because either a) you are giving conflicting/confusing/contrary signals with the rest of your body and aids, or b) he is in pain, from the bit or from the saddle or from the way you are riding him or from some other cause. Or both of course. (If he pulls through or ignores the bit without actually going fast, just not actually stopping, another possibility is that nobody has ever really TAUGHT him what the bit means).
Thus, normally the best solution to needing a strong bit is to keep your current bit and get a strong RIDING INSTRUCTOR, who can identify whatever problems you and/or your horse are having that are causing him to be uncomfortable or think he's supposed to go faster.
In the mean time, a horse that is not easily controllable should not ever be encouraged or allowed to "gallop full speed" (or in fact gallop at all). That is just making the problem worse. You need slow relaxed work to get both of you on the same wavelength and get him happy in his body and mind.
Good luck, have fun, please get help with him as too many horses end up ruined this way,
Pat