The M-1903 with wood handles is particularly hard to find. With the problem that they are ludicrous easy to fake.
The M-1905, with black plastic (or micarta) grips are more likely what you mean. Which means tough sledding with your price limit. I've seen the bayonet & scabbard combo sell (not just list) for between $180 & $225; just the bayonet seems to sell in the $150-$175 range. even the scabbards--in good condition--sell for right around a c-note. That is, unless the ads are horribly misspelt.
It used to be that only the USN 1940 War readiness Act plastic bayonets went for those sorts of prices, and then only with non-chipped blades, and fully intact muzzle rings.
A similar condition exists for the USN Mk II--aka KaBar--knives; thse sued to be $40-50 with a decent scabbard. Those are nor about $150. Saw a USN grey plastic Mk II scabbard recently sell for $85 just by its lonesome.
But, that's nothing--go price US-made 1917 Enfield bayonets (used not only of the P'17 rifles, but on every US 'trench' shotgun until the introduction of the M-590.
I cant shoot with the bayonet on there
Huh? because of what the repro is made of? The design is clear of the bullet path of both 1903 and M-1 Rifles. (The repro may include instructions to not fire while it is attached, which is likely lawyerish CYA.)
plus it can't even cut through water.
It is counter-intuitive, but, from about 1900 or so, bayonets are not meant to be sharpened 9even if made of suitable steel). A butter knife edge and a clean point are all that is required By WWII, sharpening the entire edge, especially, to a razor-like hone was considered as low and base as had "sawcutting" the bayonet back had been in WW I (a move of REMF, pogue, and similarly insufficient types).
Now, honing a couple inches in front of the cross-guard was ok, as a person could use that bit of edge to open boxes or the like.
