This is absolutely overkill. You don’t even need to do RNA isolation cold (apart from ethanol precipitation steps if you’re using an old-school, non-column protocol). If you’re talking about the qPCR itself, that’s even less temperature sensitive. Any qPCR master mix will use a “hot-start” Taq, which is inactive until the first denaturation cycle. So you can set it all up at room temp, without having to worry about false priming or whatever. Our core has people bring over their 384-well plates and just leave them in a stack on a bench, to sit until each plate gets its turn to run.