Thanks to everyone for the information. The Red Rock Canyon Loop was a difficult ride for me. The extreme heat didn't help. I was there on Sunday morning (might have been the hottest day of the week) at 6 AM when they opened. I was sucking in huge volumes of air from the hills and sucking in hot air made it even worse.
Here is some park information. If you are riding a bike in the fee is 3 dollars. If you drive in with a car it is 7 dollars. You can purchase an annual fee for 80 dollars for this park only. If you are over 62 (which I am) you can purchase a LIFETIME national park pass for 10 dollars. You can enter other parks with the national park pass besides this one. Purchase this pass at the park instead of online. It is 20 dollars online.
I went back several times more but this time I rode outside of the park on the highway leading to the park. The shoulders are wide to ride safely and the hills aren't as bad as the loop. I just parked at the visitor center and rode out of the park to the highway. Remember to take your park pass so you can reenter.
Definitely going back again. Hopefully, the next time it won't be so hot and I could ride the loop with more comfort.