Three simple thoughts:
1. If I could, I line up that then BACK UP to get he rear most wheel at the edge of the RW. I know... the chiefs and the MX folks take a a dim view of backing up with jets, but it IS possible.
2. When not comfortable with taxi markings - and even at the risk of being un-cool, I'd stop and request a guide.
3. When all else fails, one can also SLOW the taxi pace to walking or less through critical turns. Being a little slow is
always better than dropping a wheel or an entire truck into the mud.