No it doesn't sound strange. I've looked into casting machine tools in concrete a few years ago, and found out that they did it during WWI and WWII sucessfully. I've revisited the idea a few times since then, but until your post, I had yet to apply the idea to this tool. Now that you got me thinking about it, I think it may be the answer to some of the problems tcmtech brings up.Your ABS plastic sheet at 48 x 48 x 3/4 will weigh about 72 pounds. 100 pounds for a 1" sheet. Freight will kill on a single sheet. Call allied plastics in Houston for a quote. They buy by the truckload and they may let you pick it up.
You may be better off casting your own. It may sound strange but the cheapest and strongest may be casting concrete. If you keep your eye open, you may fins a perfect mould - like a plastic bushel basket. Add some glass fibers or short polypropylene rope (1/4") that will Fray into individual fibers to add toughness and prevent crack propagation if you have a vibrating or stressful application. I've cast umbrella anchors out of concrete using plastic pastry packaging from the grocery store. My wife thought I was crazy but she loved the fluted edges - I put a PVC pipe inside that I tapped out for the umbrella pole. I've also done a picnic table top and a counter top for the basement bar.
Have you ever seen how they used to pour a babbitt bearing? Its just a hollow shell and you stick a shaft through it. The shaft has some flutes turned in it. They coat the shaft in a thin film of carbon from a blow torch and then they pour the case full of babbitt, which by my understanding is like lead, with lubricating properties like graphite. The babbitt turns solid, trapping the shaft in place by the flutes. The only clearance between the shaft and the solid babbitt is whatever space the carbon took up, which i guess couldn't be more than a micron. It makes for a very good rigid rotation- no play in it at all. No moving parts. No machining required.
Perhaps I could make the disk (or at least the outer edge of it) out of something that's naturally slippery, like UHMWPE or nylon or teflon, coat the outside of it with a very thin layer of grease or vaseline just for good measure, and then pour concrete into a square mold form around it, trapping it in place.
I've also been considering making the whole thing thicker. Instead of 1" plate, make it like a 6" puck.
Combining these two ideas, the inner puck could be made by sandwiching plates of alternating diameter, like 36" then 38" then 36", etc. To achieve the effect of the fluted shaft used in a babbitt bearing.