If you run 4 tandems, you probably need 13 pitchers or some sick DUR/STM combos. Again, a 59/68 is going to give you 4-5 innings. That might get you thru a game if used together but that's disregarding PH or getting shelled. So, essentially every day you need 1-2 RP. Not a big deal, I use 2 most days. But, if you only carry 4, a couple of back to back extra inning games and you're screwed. You need an innings eater. Which essentially means you're carry 9 SP-types. I normally carry 7(5 SP, 2 LR) because the good ones are pricey.
In short, you might price yourself out of tandems unless you've got some ML minimum/1st arb guys in there. It's not a long-term solution.