Voltage on rails does not tell you much, its more important to run amp on max load and measure ripple for both voltages. This will tell you if capacitors are OK as well as voltages.
You should use scope for this, you can also use multimeter to measure ripple by using MinMax (Peak) mode, you capcure Min Peak and Max Peak, it will tell you Peak-to-Peak. its not preferable and accurate way, however, it can be done that way.
If voltage is not regulated it does not have to be accurate + - 15% is usually OK. (if schematic says 15V it usually means that your 120V or 220V input voltage must be accurate as well). If its regulated we usually tolerate + - 5%.
For $250 you can get used Fluke 87V.
Dave recently reviewed Brymen BM257, it could be a choice..