I believe this must depend on your computer/Internet/router setup. I read some questionable reviews with people having issues, but we have a very fast gaming computer, mid level Internet (not sure exact speed) and a newer dual band router and have no issues at all. I don't think there is any hd that I have come across yet but I don't use it for those shows. For instance, I think Netflix has hd, but we just use the Netflix channel, not the play on one. I decided to try it b it claims you can get a refund within 30 days but we won't be canceling.
Unfortunately I don't think there will be another option until CBS decides to allow the shows to be streamed on other devices. Of course, you can always catch the shows live over the air for free, or use a pc set up or DVR to record.