Thank you veteran-class restorers for the tip! I'll try to do it "by the book", if succeed, then I'll make some thread here
One thing that is still bugging me, is that I really would like to use that original wood-tone in the parts that it belongs. So my plan is to install overlay and then cut those wood-parts out. Because there will be several coats of clear over it, I'm getting smooth end result with most realistic output. I assume that if cutting is done with needed precision, no touch ups etc. are needed.
Another thing, when playfield is curing, I'm afraid about warping. My plan is to make metal frame about the size of a playfield and clam it on to it If clamped from the corners (with reasonable force), there shouldn't be any marks on the clear or at least on the visible areas. Or is there any other, easier ways to achieve this "non-warping" end result?