Tom-
I'm pretty sure that someone will have something for you, although they'll need to know or choose themselves what it is that this position is compared to - like % of what? Also, you'll need to estimate how much your unfinished plane and its finish will weigh - separately - because heavier finishes will affect the outcome more than light ones to varing degrees as the unfinished weight varies (I've found that the finish weight will move the c.g. aft) on traditionally configured planes, especially flapless ones.
However, here's something you can do to get a rough approximation. It will work best on a profile model and worst on a fat-bodied model. For cambered surfaces like wings, it is striking how little the actual surface area varies from the wing area (projected) itself. They are close enough for this approximation. 'same for profile fuselages and especially for tail surfaces.
Last year the club created a .15-sized Goodyear/F-1 profile scale racing event that brought with it inherent nose heaviness problems. So for one, I tried to predict where the c.g. would fall on the finished model, so that we could decide how much ballast would be needed and whether it was necessary to shorten the nose. Working from photos of two partially finished models, I was able to make a little model of the model out of foam board. Note: All parts must be the same thickness and same material!The longitudinal c.g. or balance point of that model would be the same scaled location of the c.g. of the paint itself. Assuming your projected finish (of dope, whatever...) weight to be concentrated at that point, you can easily compute how much the model's c.g. will move aft with the application of your finish. The pictures below illustrate what I did:
1) Walt Elbrecht holding his "Shoestring" which had identical flying surfaces to the model in question.
2) Walt's and Bob Hudak's "Shoestrings", Bob's in foreground being the subject model in approximate side-view.
3) 2-V cut and paste on 8.5" x 11.0" paper of side and plan views to same scale at useful size.
4) Little model made by rubber cementing cut out photos as shown in #3 along side Walt's project.
5) Bob's finished model that flew well enough without chopping the nose.
6) Diagram of all the force estimates, since the hardware was not attached. All you need is the c.g. of your plane with engine/tank and your estimated finish weight. We guessed at 3.5 oz. for the small plane.
The little model balanced level at a straight pin pushed through the fuselage just slightly ahead of the wing root trailing edge, which is where the paint by itself would balance: c.g. of that model is the c.g. of the finish, within limits of other measurement accuracy.
What you do is choose a base line for comparison. It could conveniently be the foremost edge of the fuselage, the wing root leading edge, or anywhere else convenient. I like the root l.e.
1) Measure how far behind that point the unpainted plane balances, and multiply that distance by the unfinished plane's weight.
2) Make the little model and determine it's c.g. location. Compute how far back of your chosen base line that would be when scaled up to the size of the actual model. Multiply your estimated finish weight by that distance.
3) Add the two answers in #1 and #2. Then divide that sum by the sum of the two weights (unfinished model plus paint). That answer is the new c.g. distance behind your base line. You can then see how far the c.g. moves with added finish.
If you don't know your unfinished weight yet, a search on this or SSW forum will give you some sample weights for comparable planes, and there are definitely weights available in the SSWF archives and perhaps here too. I know a lot of these guys here do keep track of weight. From those data and any helpful member here who knows where his c.g. was before finishing, you can get a ballpark figure for your own plane.
My guess is that someone already knows your answer though. This has just been a DIY method, if you don't want to just trust the designers and build to their weights.
As always, FWIW.
SK