Can not fine tune Colpitts oscillator with crystal
Take the equivalent circuit of a crystal: -



In perfect series resonance it will have this frequency of oscillation: -

$$F_S = \dfrac{1}{2\pi\sqrt{L_1C_1}}$$

And, if you calculate the value it is 5.850652 MHz (not far from the 4.43 MHz used by the OP).

But, look at the value of capacitance used (\$C_1\$) - it is 3.7 femto farads (fF). With 5 pF extra in series the series net capacitance becomes 3.697 fF. With 60 pF in series it becomes 3.6998 fF.

So taking the value of 3.697 fF (5 pF added tuning) and recalculating the series resonant frequency you get 5.853025 MHz.

As you can see you might get a change in frequency of 0.04 %.