The RH Process Master is great. It replaced all my various clocks I used for different purposes. It allows to count up. However there are limitations and it might not be what you're looking for. It does only count up the amount of time you programmed it to countdown first, then it stops counting. And there's no way to count up only. Furthermore all times above 10 minutes are displayed in 10 second intervals (display changes every 10 seconds only) which is very weird if you're used to how most digital clocks work: display shows every second. The wrong place to save a couple of cents for a digit element IMHO. Other than that, it's a good process timer.
Another option would be a stop clock they sell for gyms and sports. they usually come with a remote, are programmable, nice big red LED digits and they display seconds. Just google for "led wall sports clock" or something like that.