Have you tried a parasite tincture like Black-Walnut hulls/wormwood and clove? You can combine parasite cleanses with the Master-Cleanse and juice fasting as well (or just do them while you're eating normally). Then it sounds like a Liver-Flush is most definitely in order. For me, personally, I prefer Liver Flushing on the heels of a fast. But that's just me. There's a bit of controversy about whether or not one should be eating prior to a Liver-Flush so that bile is built up properly. I had my most successful flush right on the heels of a 10-day MC.
Do you have any clue where the parasites are coming from?? (Household pets, too much sushi, contaminated food ... certain locations in the world present more of a problem too.) If you haven't already, definitely read the parasite forum thoroughly.
Many recommend doing the parasite cleanse this way:
7 days of tincture
7 days off
7 more days of tincture