We don't have Standups at XJT (at least I haven't seen 'em). However, we do our fair share of red-eyes. We have 3 kinds.
The first is the red-eye turn...Duty in about 9:30 pm or so. Fly 1 leg to the outstation (PHX, ONT, PSP, DEN). Sit for about 2 or so hours on the ground and be back in IAH by 6:00 am. I've done one of these to DEN. It wasn't too bad. Got about an hour nap in the back of the plane. Plus, you're paid for 2 days of work. I imagine this is what a standup is like (minus the hotel)
The second kind is fly a 4-day with Day 3 getting in somewhere (PHX, SLC, BOI) fairly early in the day. Duty on for Day 4 at about 1 or 2 in the morning, fly 1 leg back to IAH. Haven't done one of these, but I imagine it's hard to sleep during the day to be rested for the last leg.
The last kind is the LAX red-eye. Leave LAX at about Midnight or 1 am. Fly down to Mexico. Land about 5 am. Sit for about an hour. Leave Mexico and fly to Houston. Land about 8:15 or so. They have had these where you have 24 hours off in LA before you do it or they have them where you DH to LAX, off for about 12 hours then do it. The latter works out great for SOCAL commuters. They get paid to go to work.
I've done the LA red-eye both ways. I find it really hard to make myself go to sleep in the early afternoon to get rested for the night flight. Plus, I'm like Doug. I'm gone when the sun hits my eyes after a late-night flight.
Either way, I prefer to fly on the front side of the clock.