Yes, RiteTemp Athletics is out of business, but I found another product that I think is better.
About three weeks ago, I bought a chiller vest from GlacierTek
Concealable Cooling Vest
What I read about RiteTemp is that the cooling would only last 4 or 5 innings requiring a quick change out mid-game.
The GlacierTek cooling elements will stay 59 degrees for 2.5 hours in 100 degree temps. The cooling elements are "charged" in ice water in a cooler for 20 minutes. Re-charging is same.
Simply, it works great.
Your core temp is reduced by 10%, along with your heart rate reduced about the same. It does not fool you into thinking it is cooler outside, but your perspiration is reduced by about 99%.


Case in point:
I was scheduled for plates at 9:30am, 3:30pm and 6:30pm.
I didn't use the vest for the 9:30am game as it was relatively mild. But that didn't stop me from working up a decent sweat. Changed pants and shirt for base game at 11:15.
We were at a nice complex where the umpires had access to a conference room that was roomy and air-conditioned.
When getting ready for 3:30 game, even though the 9:30 pants had been hanging in the A/C for 3 hours, they were still noticeably damp. So, I pulled out a fresh pair.
At the end of the 3:30 game, the pants that I just wore were bone dry, and definitely drier than the 9:30 pants.
The vest seems a bit bulky at first and it weighs nearly 5 pounds, but you will not be bothered by that. I haven't used it for a base game yet because it would be very noticeable - would look like you had a chest protector on. But if the temps get high enough (100+), I will not hesitate to use the product on bases.
Side benefit that I did not realize until this past weekend.
Since your core temp has been reduced for the 90 +/- minutes, it takes a while for it to rise back up. So, for the first 30 minutes or so of the base game, you are still feeling pretty comfortable. I still use my frog togg for the base game, and able to use the same pair of pants back-to-back and remain bone dry.