If you are ripping lengths of it, you will likely need the additional horsepower that the medium to lower tooth counts give you. However, if you need to also crosscut with it, you might not like the results.
The good news is that since you have both a mitre and a table saw, you don't have to choose. Try a ripping blade on the table saw and do some test cuts to see if it produces the desired results for ripping. As long as it leaves no big tears, you are good to go.
Since the wood you mentioned is extremely hard, invest in a 'good' crosscut blade on the mitre saw and do some test cuts. You may not need or even want the 80 tooth versions on such a hard wood (note I'm not familiar with Sucupira, I'm just going by your description.) Really hard wood is much more forgiving for tears in the mid-tooth range and as you say a fine tooth blade may just have to work too hard.
