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@TheBrick(Tommy)
My best sugestion would be to get hold of a cheap mbt rear wheel. You should beable to get hold of one cheap or even free. You will have to use a different tyre though.
Your 26" X 1 1/4" rim has a diameter of 547 mm with a 1" 1/4 tyre give you an outer dimaiter of 31.75*2 +547 = 610.5 mm
A mbt rim (559 mm) with a 1.25" tyre will give you a 31.75*2 +559 = 622.5 mm outer diameter or with 1" tyre 25.4*2 +559 = 609.8 mm.
So if you have the clearance you of an extra 6.25 mm at the moment you can keep the same balloon of tyre on the bike and use an mbt wheel or drop down a tyre size and have a wheel 0.7 mm smaller in diameter.
You should have enough travel in your brakes to beable to cope with the small 6 mm shift in brake block height.
edit the 31.75 is 1.25" in mm and 25.4 is 1" in mm