It might be too late now but there was a Kirk in the Morrisons car park which was demolished, opposite St Andrews Kirk, don't know if it had a burial ground though. There is a burial ground behind what was the TA centre in Belvilla St/Thistle St. which is only a hundred yards or so away from St Andrews. It was a Kirk at one time and when the TA moved out it was reinstated as a Kirk. It can be seen on the google street thingy.