Difficult task with those dimensions. A patch will work only if your dielectric is 10.
I think PIFA type antenna is a good option but these require room at the edge of your circuit card with no metal chassis around it.
Specify your bandwidth, substrate thickness, desired gain and antenna pattern direction, that'll help.
As a reference, I have an FR4 quarter wave patch, 0.060" substrate, 3.75 inches long x 2" wide, 390 MHz frequency, that'd put your frequency (462 MHz) at 3.17 inches length (for the same material and antenna type) and if you changed that to dielectric 10.0 you'd arrive at your desired 2.00 inches length. Bandwidth would be narrow, 15 Mhz or less for 0.060" thickness.
This is not your average patch design, very sensitive to tolerances and materials.
kch