So you don't think you could derive a 10-msec, a 50-msec, a 500-msec, or a 1-second interval, when needed, from a single timer generating a 10-msec interrupt?
That's what i would think too. Try to consolidate your timers and see if you can generate all the times you need. If all of the timers are in the INT service routine then maybe you can consolidate those timers into one timer and then that will free up a timer to use for the 1 second 'constant' timer.
It's going to take a little code rewriting of course.