You can get a smaller capacitance by connecting them in series. Cfinal = (C1*C2)/(C1+C2).
For example: 2.2pF series with 2.2pf series with 2...18pF = 0.709...1.365pF
Another advantage of putting more capacitors in series, aside from being cheaper to procure a bigger trimmer and getting a finer adjustment, would be that you may find different types of capacitors, some with positive and some with negative temperature coefficients, so to lower the overall thermal coefficient when connecting them in series.
However, even a Rubidium disciplined clock will have drift, so you may want to look for some other clock that can self adjust their error, either by the help of time broadcasting radio towers, or GPS, or maybe over NTP if Internet is available. Running a solution that synchronizes from outside would be cheaper and guaranteed more accurate than running an ovenized 32768 tuning fork.
Meanwhile, while you are waiting for the newly ordered parts to arrive, why don't you try to wound two wires together as I described earlier, I remember it was working pretty well once trimmed. It takes nothing to coil two wires together.
Either way, good luck getting the perfect clock, but remember there is a reason for why the guys into precision clock are called "time nuts", or why there are sayings like "A man with a watch knows what time it is. A man with two watches is never sure."
By the way, there's a great documentary about the need of accurate timing and the struggle of how to get this right for the very first time, and how it all started when a big prize was set for it:
Nova Lost At Sea The Search For Longitude PBS Documentary