I agree, Matt. But, considering that all synthetics ((Nylon, Poly, DCF, plastic sheets) are some form of synthetic, I don’t believe you have much choice, Bradmacmt.
I think rayon is the only non-petroleum based fabric…well, at least it was designed that way to mimic silk (though production can be hard on workers due to nitric acid related compounds, I think…one of those compounds is very bad, anyway). Even Tyvec is a plastic “cloth” made up of random plastic fibers pressed/heated together much like DCF (a way to use scraps, initially.) Almost all camping equipment (except for down feathers, some wool fabrics) is synthetics/manufactured, today. Cotton is almost never used.
Yeah, DCF is not the best for ground sheets/tent floors. Nylon is MUCH better for similar weights (about a .3-.5oz difference per yard for a couple yards.) Poly lacks strength meaning it is subject to tears. Plastic sheets (polycro, Tyvec, painters drop cloths) are mostly disposable.
At around 4oz(avg) you can have a good nylon ground cloth, coated with silcon both sides that is highly durable, highly resistant to abrasion and repairable. A re-coating of silicon will put it back to work if it does start leaking. As always, this is a compromise between weight/durability/repairability over the long haul and should last an easy 15-20 years with only recoating and minor stitching as repairs. Weight goes between 3oz to start with and 5oz after multiple recoating/repairs.
DCF is lighter, but is subjected to abrasion. IFF, you can get a laminated version, you will find that the weight is poor (2.1+oz/yd.) Duct tape works well for punctures, but after several years, you loose the weight advantage. It is not repairable from general abrasion. Usually, around .71-1.0oz/yd is usually used. It is good for about 3-5 years and generally has the best weight/durability over that time period. It is also the most expensive.
Poly is heavier because the fabric is weaker than nylon/DCF and you need a heavier gauge to avoid rips. The newer silicon (or sil/PU) treated fabrics in heavy 30-40D fabrics are difficult to find. You cannot generally coat raw poly or poly/PU (P4000) with silicone/mineral spirits so there is no repair to a worn floor…it doesn’t stick well. A 30D, 1.6oz/yd silpoly would be OK, since it IS repairable. It will have roughly the same strength as 1.1oz silnylon.
Tyvec is as heavy as poly and less durable but somewhat cheaper, since, you can often hit up various construction sites for small pieces (3×7 is a small piece.) If you can get these for free, go for it, but insure they are water proof…not all grades of tyvec are. Usually, say on a house, it is often the breathable kind, because it it NOT a good practice to put insulation between two vapour barriers (insulation often has a vapour barrier on it.) BE CAREFUL. Some is quite waterproof and fine. Weight is around 4oz.
Polycro is cheaper and lighter and has moderate/poor durability. It is fine for a couple weeks but “sharp” objects (twigs, jagged stone, etc) can puncture it easily. Bring a piece of duct tape for repairs, it will usually last a season with DT repairs. Weight is good at around 2oz. You might consider adding some duct tape for mounting stakes.
A painters drop cloth is the lightest/cheapest/least durable. It punctures easily but is fine for a few rainstorms, provided you don’t set up in a puddle. I don’t consider it waterproof, except for a the initial use….pick your ground. Good for over wet ground under a tarp for a couple weeks. They weigh about an 1-1.5oz.
Mylar “space” blanket works well but has the same drawbacks as polycro/painters drop cloths. There are different grades of this stuff as well. The only good thing is that it will reflect heat back at you from below. A small piece of plastic wrapped in a corner or a smallish washer makes a good mount for guylines for staking it out. Wider versions (like 3’x7′) can be had with a bit of searching. Weight is usually around 1-2oz. They can leave a black film on your hands but are real cheap at around $.20 to $1.00 each. SOL makes a lager one at 4’6″x7′ at 2.5oz for $5.00.