Try KAL's magnesium orotate. It is supposed to have the same effect and Epsom Salts and not be so hard on the intestinal lining. My husband won't ever do the Epsom Salts , too nasty. We haven't tried this yet, but it was recommended. Also, take lots of malic acid. Oxypowder might help.
I have done a Liver Flush without Epsom Salts and the results are very minimal. I did one very successful Liver Flush without epsom salts and I got out a lot of stones, but I hadn't eaten any solid food in two weeks so my bile ducts were open. One of the best Liver Flushes I've done started with a coffee enema.

My friend couldn't handle the taste of Epsoms and did a successful flush with a heavy dose of simple pharmacy-sold magnesium supplement. The magnesium in it was in chelated form and I think she took about 1 gram worth of Mg. She took it just once, two hours before OO/GJ and followed up with a SWF (Salt-Water-Flush) in the morning. No problems and she did get stones out, intends to continue flushing. I don't know if it is OK to do with acute gallbladder problems.

Yes I have, the 1st, 2nd, 3rd flushes I did were without ES (or any other replacement) I still managed to expell 1500+ small tan stones on my third flush, the first two I got less (around 200 each.)

After that, I stopped releasing major stones til I started using ES, then I started releasing more stones, smaller and older than what I had gotten out before.

I've done 14 LF's, the last one I did without Epsom Salts and it was probably the best or 2nd best flush ever.

BUT.....
I took Julia Chang's 4-pack (SensibleHealth.com) for a month prior - I had used Chinese Bitters and GCG before, but not all 4 (Bitter, GCG, Curcuma, and Coptis).
It really seems far more effective to take a type of stone-breaker (Chanca Piedra (no experience), GCG, etc.). All the other flushes I did without them were rather so-so, or poor.
PLUS....
try exercising the day of the flush - I'm a big believer in the blood flow moving stuff into position to be released.

AND....
try using fresh organic grapefruits for the juice - the taste is light years better! I only needed 2 or 3 to make enough.

Like Hanna said, check out http://www.sensiblehealth.com - I met Julia Chang, spoke with her for about 40min, she knows her stuff.

Couldn't resist jumping in when I saw my (almost!) namesake! ;) The ES sure is nasty, isn't it?? Though it takes some time to do, I put it into gelatin capsules to swallow; a tbsp. I can stuff into about 14 of them, give or take. These last couple of flushes I only took the ES pre-flush, then mag citrate for the 3rd and 4th doses. I take malic acid tablets daily and did quite a bit of apple juice for several weeks there, so most of what I get is broken-down sludge, and it seemed more like the dam broke after the 1st flush (not much on that one, but pretty decent and continuous results in those after (am just recup'ing from #5 today). You can get the mag citrate from any drugstore or even Wal-Mart for a buck or so, and it slides down quickly. ;)