Your question isn't completely clear. With a .ts file, which as you stated is essential mpeg2, a lot of media players will just play the file as is (Media Player Classic, AVS4you for example) so you really don't need to record it. You can also use a video converter which would be faster than recording and would retain the HD audio (again AVS4you Video Converter does an excellent job). Either way would be better than recording it.
I mentioned the AVS4you software as it is inexpensive and you have access to a whole suite of video, audio and utility software which is great for the price and has free lifetime updates. I've used it for a couple of years for editing and converting with excellent results. You can download a trial for free. If you decide to buy do a search for discounts and coupons and save about 1/3. There is also some free software for playing and converting available online.