What are my chances at transferring to Rice?

Highschool grades were not bad - 3.4/4.0 gpa, 1420/1600 SAT
I didn’t apply to Rice initially, only University of Houston and Texas. I didn’t get into UT so I’m at University of Houston Honors College right now.

First semester I’ll most likely have at least a 3.7/4.0 gpa at the Honors College (which is top 10) as a Computer Science major. I’ve talked to some graduates from Rice who transferred and they said Rice doesn’t look too much at second semester if that’s when you apply, mainly first semester.

What are my chances?