Monks and Two weapon fighting with unarmed strike

[Michael Foster 989]

I am currently working on a monk build, I will be going master of many styles so I trade flurry of blows for other features, I was wondering if it is possible to later on pickup the two weapon fighting tree (TWF, imp TWF) to gain the ability to hit with both unarmed strikes?

I wont need double slice (due to monks unarmed strike always giving full strength bonus, which is part of the unarmed damage progression which I dont give up). This will be for a PFS character so it will need to be completely legal to take those feats.

[Ciaran Barnes]

Yes, but your attack bonus will be lower. Flurry uses full base attack bonus, but a monks actual bab is lower than that.

[Michael Foster 989]

I can live with just using my monks BAB rather than full BAB I would have with flurry, as monks are still 3/4 BAB meaning by level 8 im only behind by 2 (6 rather than 8)