I would definitely try it on the resin printer. It is probably capable of the features you want.
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(1) If the sizing must be precise, account for resin shrinkage. X and Y (as printed) scale up about 1.0156 (i.e., 1.56%). Z scale up about 6%. Fusion has a non-uniform scale feature.
(2) Make sure your Fusion model is in millimeters before you export to STL. Sometimes the Chitubox slicer just flat freaks out on the size conversion it if didn’t start in mm.
(3) IIWY, my first attempt would be to print it flat against the build plate. The biggest challenge is going to be getting it off the build plate without shattering it. Put several copies onto the same print and print them all at once. Use a single-edge razor blade to very delicately lift it off the build plate. You’ll have to bring your own blade. It’s so thin that it’s going to print real fast. Print time is dependent solely upon the number of layers, so having more parts on the layer isn’t going to impact that.
(4) If you can’t get it off the build plate without shattering it, then tilt it at about 45 degrees, and use supports. Lots of supports. Make your supports nearly touching each other especially at the “leading edge” (i.e., lowest corner) of the print. Your part is so thin that it’s going to want to sag. Make the Z distance off the plate 7-8 mm.
(5) The resin profiles we have set up use a default of 0.05mm layer thickness. If you print on an angle, consider reducing your layer thickness to 0.025mm. It seems to be more stable that way. If you do that, reduce the exposure time per layer by 25%.