Ideally there'd be a way to replace (some of) a potential strength bonus with a different bonus - one that costs slightly more then just making the Incredible Hulk. This way, big bad troll bruisers can still be big bad troll bruisers, and the dainty elves can also become swordmasters - more agile and thus more precise then troll, but, given an average on resources spent, less damaging and powerful. An elf who TRULY wants to be one with the sword could spend even more resources on whatever this is to meet the troll without being Elvy McLargeHuge...but, well, the troll could probably tidy up their Agility too, eh? It also ensures trolls don't go Strength 10, Extra Damage 5, Murder Literally Everything 30.
That said when it comes to pure unarmed, I'd consider doing it with Killing Hands. Let Killing Hands ALSO increase unarmed damage by 4P but that doesn't stack with anything else that increases unarmed damage. .5 PP makes it a little more expensive then just sticking on some Spurs as far as essence -> PP goes, and you lose the -2 AP, but do +1P and save the 5k nuyen. And you don't have to take any 'ware! Bone density is flat out more expensive completely, but also gives the bonus to Body rolls for damage resistance tests. It also lets you start with the +4P, which 'ware won't do.
Alternately, if this is too powerful, Killing Hands increases unarmed damage by +2P each point and can be taken twice.