Thanks to everyone who shed some light on this, especially Karel's comprehensive report. For anyone interested, here are the frequencies I heard religious programming on:
27265, 27295, 27305, 27335, 27345 and 27405 kHz. 27265 was the most stable and clear frequency. The distance should be somewhere near 2600 km.
---From the world's northernmost DX-er---
N-9980 Berlevåg, Norway
Receivers: AR7030+, KWZ-30