There is perhaps a round-about way to accomplish your goal. It would involve another piece of hardware - USBUIRT (an IR receiver/blaster) and a different recording application software that supports the USBUIRT. (GB-PVR, Sage, etc)
Setting everything up fresh and learning to operate new applications could be a pain, but once set up it should be as easy to run as WinTV. (perhaps easier/better since many people dump WinTV as soon as possible)
It's also possible that some of those alternative applications might support the built-in blaster better, but I don't have any first hand knowledge. You should search their forums for comments about the blasters.