I'm kind of a hack when it comes to gearing, but here's my experience and brute force solution.
I have an EMORY (Snyder tubing, made after Snyder went out) cruiser that had this same exact problem. (Go figure... I have the same rear triangle as your frame I think)
I had a 46 tooth 1/2" pitch chainring up front, the original one, and with an 18 tooth cog on the rear wheel, I just could not get my wheel to sit right in the fender. It was tight at the top, that was never the problem really. I couldn't get the chain adequately tight by removing links without the tire rubbing up front at the chainstays. The wheel was pulled as far back as the chain would allow, and it was just no good.
So I add two links... the wheel sits ok but the chain is too loose. :x
I had an idea at this point. I traded my 18 tooth cog on the hub for a 19 tooth and left the front chainring. That solved it. I think I put two links back into the chain and that combined with a 19t cog out back was just the trick.
Experimenting with rear cogs might work for you as it did for me. I think, correct me if I am wrong please, that what trading a cog with an even # of teeth for one with an odd # count does is break the two link cycle, where removing two links is too tight and adding them is too loose. It just adds an extra, odd tooth into the mix.
I believe, I could be wrong here too, that you can get what's called a 1/2 link- has male and female chain ends, so to speak, that replaces 2 ordinary chain links. I've never used one, but I think it would solve the problem the same way my brute force odd count cog method did.
Interestingly, I can run an even tooth count cog out back if I put an odd one up front. It seems to be reversible.
Granted, these solutions are kind of finicky because you're altering gearing for a visual appearance thing. :| It's not all that ideal, but it seems to work.
At least in my case, I think somebody goofed when making my frame. The stamped steel dropouts stick out of the chainstays more than on other frames, and I assume that's sort of accidental and the source of the funkiness. It's just my gut feeling that if they had been pushed into the stays a little more, the length of the drivetrain would have been a bit "better'. I can't prove or disprove that yet, just a hunch. Kinda.
If anyone knows if there is a connection between here that I'm onto, I'd love to know! I never assumed that rear stay geometry affected gearing much but I really am starting to wonder if it does. It seems a bit more than coincidental that two Snyder frames have this same issue... and I had it with another before.
For reference, this is my bike:
viewtopic.php?f=6&t=32346
***Edit: I have to admit, this was all with 1/2" pitch. With 1" pitch like you have, it could be more complicated. I know that odd tooth count rear cogs exist in 1" pitch, not sure about the front, and I don't even know if this is relevant, because of how 1" pitch chains have two differently sized links. I hope some of this is even remotely useful afterall! :wink:
Edit again, I also didn't see that you had already solved your problem