I have this circuit where I will use as a DCO called common source Colpitts Oscillator

the problem is i try to connect two capacitors in parallel to the C1 capacitors then put a switch in between them something like this.

where if the switch is on then it turns into parallel then it varies the frequency. I use a transmission gate switch but for some reason when I turn on or off the switch, the frequency is basically the same. I found out that the TX gate parasitic capacitances dominate the Capacitors thus effectively being in series with the capacitors i attached to c1. What switch should I use? I really need help since I cant graduate if I cant do this

the problem is i try to connect two capacitors in parallel to the C1 capacitors then put a switch in between them something like this.

where if the switch is on then it turns into parallel then it varies the frequency. I use a transmission gate switch but for some reason when I turn on or off the switch, the frequency is basically the same. I found out that the TX gate parasitic capacitances dominate the Capacitors thus effectively being in series with the capacitors i attached to c1. What switch should I use? I really need help since I cant graduate if I cant do this