Sounds like bad motor mount height, also, suzuki's typically swing a bigger prop then a Yamaha, did you get the right prop size or go with what the Yamaha had? The added weight on that boat will NOT cause the problem on that size boat at all. Moving weight around will have little effect, and truely will be negative effect, you won;t be solving the issue, but countering it with something just as harmful to your efficiency. The Suzuki's are likely have more torque since they swing a bigger prop on average, but that should help it get on plane easier.
When you get on plane, check how the engine runs in the water and take pictures to see if the plate above the prop is in the water, even with it or above, this should be even with the water, any other position is a sure sign of improper installation height. When you repowered, did you buy engines with the same size shaft? Did you use the same mounting holes or new ones?
If you want the nose up, trim the engines up a little, this should give tyou better efficiency, you should never be fully trimmed down 100%, that is improper operation and will point the nose down, especially with the added torque from the Sukuki's bigger prop.
As mentioned above, are the engines both counter rotating. If you feel the boat wants to go to one side over another and won;t track straight, adjust the zinc skeg above the prop. For twins typically they are slightly towed in to begin, that is usually the best position to start and work from there as needed, but if counter rotating there should not be a need to adjust them.
Also, to note, as you increase speed, it is normal for a boat to decrease its trim angle, this is caused by more boat getting out of the water and the center of lift changing, as the boat speeds up it will become flatter, but about 2.5-4.5 degrees is normal operating angle depending on the conditions and how the boat is loaded.