I'm looking for a league that's less formal than most of the others. Just something where on a certain announced day and hour of every week, they race a certain car on a track that is announced at the end of the last event.

Similar to Thursday Night Thunder, but with the selection of cars staying constant throughout the series.

Tried the GFC, but it's a bit too difficult for me. I'm CAPABLE of competing on a technical level, but emotionally, I get nervous, and my heart starts thumping like an oil pump, and I end up screwing up my corner entries, and thusly risking everybody else's race

CHOPS Sunday Cup....not a league, but a well attended series of events...different car/track each week (yeah, I know you said constant, but...).

Check here: http://chops.myfreeforum.org/forum2.php