Sorry I can't contribute to a work around for achieving such a precise tempo if your other gear won't let you input miliseconds - but as a tangent, can you elaborate on how using 97.7777 forces you to write differently than if you were in 98? I write different kinds of riffs in 125 bpm vs 100 bpm, and there's obviously a threshold at which 1 bpm makes a difference in how something sounds or how cleanly I can play it. But I I'm curious what difference in your writing you perceive with values less than .5 bpm.
Use a beat calculator and make all your tempo sync milliseconds vs. bpm.
As a wise man once said...View attachment 29246