I wouldn't recommend doing the squeezing method. I've used the method on many occasions, on a variety of brands - from ones which filtered really well (with me simply ringing out the filter after it had finished filtering anyway) to ones which didn't filter very quickly or at all (i.e. CO pain tabsules or codalgin) where I was trying to "push" much of the water through the filter.
I always noticed that when squeezing, the resulting brew was noticeably cloudy. While I don't doubt that Tortoise is correct in saying that the amounts that get through are probably neglibible, in the interest of being as safe as possible, I would recommend a second filtering of the "squeezed" liquid. Since most of the gunk is gone, the extraction should be very quick.
I've noticed that the brands that filter easily also squeeze out easily. However, with some of the less effective brands (CO pain tabsules again) on many times I've actually noticed that after squeezing, parts of the coffee filter have literally burst apart, and although only a few mm in length, have allowed alot of gunk to pass straight through. If your really gentle then it's possible to do it without breaking it, but its very easy to break and sometimes it can be hard to notice.
On the times that I have resorted to squeezing instead of letting it drip through, I've never found the results to be as good. I suspect if the water is pulled through the gunk before getting filtered it will be of a higher efficiency than when it is simply squeezed out the sides above it.
In regards to the post recommending around 250ml as a safe level of water to use - I'd have to strongly disagree. Though it may not kill you to do every now and then, I doubt it would be very good for your body. For regular uses (i.e. everyday) I think even 1gram of paracetemol (i.e. 100ml water) is too much. I would always use as little water as possible, just enough to submerge the pills. I usually use around 40-80ml to begin with, and the resulting liquid after filtering would be around 30-50ml. The less paracetemol the better IMO.
In regards to the dose taken, I find (with little or no tolerance) that low doses of around 120-200mg will produce a subtle experience with little side effects. Around 300-350mg the effects feel much stronger (and generally more enjoyable, especially with a couple beers), though the side effects are also increased. A few times I've had high doses with no tolerance on an empty stomach, and felt sick as a result. But I've never felt sick if I've eaten.