Tire size and speedo readings

Thanks in advance for answers to my questions--

I have a 2008 doublecab 4x4 TRD with 265-70-16 tires. The tires are ready to be replaced and I'm thinking that I will go with 265-75-16 tires .
According to the tire size calculator, I should see about a 2 mph increase in actual speed vs the speedometer reading.

According to my GPS, my speedo reading with the current tires is off by about 2 mph (speedo says 67 vs GPS 65 ).

So....will the taller tires give me a more accurate speedo reading?

Any feedback on Goodyear Wrangler TD's?

 

I bought a used 2008 Tacoma. It has larger than factory tires. It looks great, but my speedometer is off, reading for example, 65mph at 60mph (by GPS). I was hoping the correction would be as simple as a reflash of the computer. I see folks showing $90 "signal multipliers" and the such on here to accommodate this change... There's no easier way?!!?!? I can accept the problem for a lot less than $90 and simultaneously keep my son from unconsciously speeding if he ever learns to drive my standard transmission...