CRKT's F4 designed by Kit Carson may be what you want
Knife: Overall length: 5.50†(14.0 cm)
Blade: Cutting edge: 2.50†(6.4 cm)
Thickness: 0.10†(0.25 cm)
Steel: AUS 6M, 55-57 HRC
Weight: 1.3 oz. (37 g)
F4 Convertible Sheath: (included with knife)
Material: Black Zytel
Clip: 180 degree reversible and removable
Length: 3.87†(9.8 cm)
Width: 1.62†(4.1 cm)
Weight: 1.4 oz. (40 g)
I've got one of Kit's and one of CRKT's. They are nice little, emphasis on little, knives. Most everything else I could find was 3.5 inches or much more than you want to spend.
Surprisingly, there are some handmades that are in your range for size and price, but I can't attest to their quality.