Help a Brit out - Attending Nascar (or similar)

[mattross1313]

Hello all,
Following a thread I had going recently - myself and wife-to-be are honeymoon'ing in the USA. Driving San Fran -> Miami.
We'd like to get to see some Nascar / stock racing / oval racing whilst over there. I've been looking at the Nascar schedule for 2018 and the nearest one to our planned trip is Daytona, but we will be arriving there late the day after the race. I think trying to rush to get there in time will leave the first part of the holiday too rushed.

So, my question is - outside of Nascar, are there any other events or series that I could try and get tickets for? The wife just wants to attend a big oval race of some kind. I realise that Nascar is the big league (so to speak), but if there are any other suggestions that I can look for that may hold races along the Southern States during our trip that would be great.

Thanks in advance