If you just need to listen to what you've already recorded and mix it then you don't actually need ASIO drivers. ASIO is more to do with minimising latency while recording. So once the recording is all done you could switch Sonar to the onboard sound chip and use the Windows drivers or whatever drivers the manufacturer supplies.
That's assuming the soundcard can handle the bit depth and sampling rate you recorded at of course.
I wouldn't consider using Bluetooth though. Even for mixing purposes there's too much latency involved, in my opinion anyway. If you have to use the laptop sound card then a direct connection from the laptop's headphone out is likely to be better.
Much depends on what your end aims are. If you want to create a mix that will sound good on manybplayback systems, not just the speakers you used to mix then you'll need something better for mixing purposes than most Bluetooth or PC speaker systems. Your best option would be to get a pair of proper monitors and connect them to the Tascam.