Tony,
A couple of ideas about your project. If you have the equipment to do it yourself, why not set the barrel back about .125 or more and run .221 reamer in .125 short to use cheap .357 brass? Wouldn't be a true .221 rimmed but would be inexpensive.
.221,.222, or .223 dies could be shortened to load with.
.357 Max brass can be necked to .22 cal fairly easily. I've been shooting a .222 rimmed 14" TC barrel since 1986 and most of my brass has been .357 Max necked down. I use a .300 Whisper die first, then a .222 die with the neck opened to .260, then a .222 FL sizer. An inexpensive second die would be something like a .250 Savage FL shortened. The last batch of brass that I used was FC and IHMSA headstamped nickel plated .357 Max. I was really surprised when it formed easily with no flaking off.
The Max brass usually grows about .030 from the forming which leaves my brass about .070 short of the .222 chamber, but this hasn't caused any problems.
I've often thought of rechambering a Ruger #1 or#3 .22Hornet with a .223 reamer run in 1.625 to use full length .357 Max brass, but there's always been something else that I needed (wanted) more.
Dave