I have to assume that the total resistance (R) including the coil resistance is 50 ohms and that your RLC circuit is a series RLC circuit, since all you had to do to obtain both 50 ohm impedance AND 127.74 MHz resonant frequency simultaneously was to tweak the capacitor.
Given that, you broaden the response by inserting a series resistor (Rs) into the your series RLC circuit. The impedance at resonance will be 50 ohms plus Rs. You then add another resistor (Rp) across that circuit to obtain 50 ohms impedance for the total circuit at resonance, such that Rs + 50 in parallel with Rp equals 50 ohms.