For Sale are three optics that can be used for your budget CMP builds for vintage matches.
First is a really nice condition Lyman Junior Targetspot, 8x, blued, long tube scope with a fine crosshair and including end caps, but no recoil spring (not allowed in vintage matches). This would be good for your 1903-type rifle - $550. The targetspot is the same dimensions as the Hi Lux but I did not include an overall pic.
Next is a Hi Lux (WM Malcom) Gen 1 repro of the Unertl USMC 8x sniper. This is a fine crosshair with the recoil spring and is new in the box. It was planned for a project rifle that I ended up buying a real Unertl instead. This would be correct for your 1903-type build - $500.
Last is a Hi Lux (WN Malcom) repro of the M82. It is a 2.5x post and crosshair reticle, and also new in the box. This would be used on a 1903A4 sniper-type rifle - $375.