It seems like 6113 version of the driver does not support FreeBSD 5.3 since I installed the FreeBSD 5.2.1 and all worked fine. No crashes, no extra configuration (just commented out "Load dri" in the Module section and change "nv" for "nvidia" in the Device section). Probably is best to wait for a new version of the nvidia driver
The funny thing is that Nvidia claims that their driver supports 5.2.1 or above. Well, 5.3 is not supported, at least on my system.