baseball23 are you a player or a coach?
As an observation, this travel team has one major weakness - "from Sept to March the kids are off doing nothing."
Address that first and you then will have a foundation for planning and monitoring your pitching staff.
Competitive baseball has no start and no finish. It is a continuous thing that requires a lot of dedication and effort. I use amateur hockey as an example. Those people think nothing of year round attention to their sport, up at 5 am or earlier for ice time, serious money for equipment and so on. So a year round program to ensure you travel club is up to snuff is just basic - of and to it self. I’m not going into detail here because that would required a lot more space than your original question asked for.
Pitch counts & innings pitch has to consider the overall makeup of your pitching staff. Your pitching staff is always going to include an array of know and unknowns.
The known are those pitchers with an experience rate that tells you how many pitches and innings they can go before they start to get into trouble. Also in there is their pitch inventory, control of their pitches, their maturity and self confidence, and stuff like that. With these guys its more of “when this guy gets into trouble” that a better barometer of “how much” rather than numbers. I’ve always use this method for pulling a guy - or not. These types of pitchers are better material to work with because of one simple fact - you know what your working with. I’ve had pitchers with tons of experience and dependability run into trouble in the first inning after only four batters. A walk out to see - what’s what, usually had me knowing when I got through with my dugout walk - he’s gone.
The unknown is a totally different story. These guys are usually the youngest, weak on experience, or even the guy that’s temperamental and explosive. These guys won’t pitch smart, they pitch harder. Pitching harder to get out of jam usually find these pitchers bearing down with nothing but fastballs, trying to hit dead-on with the strike zone, and getting hammered in the process. These guys should be watched carefully for early trouble and early injury.
Here’s the bench marks that I use to use to temper my guys. I’d give a pitcher who depended on fastballs a lot, 4 batters per inning and 4 pitches per batter for a total of 16 pitches total per inning. If he got out of an inning with three batters and a total of 6 to 10 pitches, then he was well within the margins. Also, going into the next inning, he would be ahead of my limits by 1 batter and 6 pitches as a safety margin. Now this gets a lot more involved if he had an in inventory of fastball, slider, curve, and off-speed. Also, fielding errors would add a dimension that gets rather complex. To many this simple set of margins is rather tight and leaves little room for a pitcher to adjust, inning per inning, and you’d be right - it is tight and designed that way for a reason. That reason being a graphic line that has upper and lower limits to not only be a game rotation planer, but also a historical chart for all future appearances.
Pitchers that depend on nothing but fastballs have to be watched carefully. Pitchers that work with a combo in their inventory can have a little flexibility - but again, watch for trouble signs. Some guys can sail into the fifth and sixth inning with high pitch count - say 90 pitches and still be within the margins. But again, signs of fatigue and taking more time than usual between pitches, not going with the signs with increasing regularity, walking around the mound after every batter should indicate - he’s due for a rest.