There's a built in problem when you ask expert climbers best way to climb SRT. Their systems are highly evolved, tweaked out, and their systems are customized to their body type, climbing style, climbing requirements etc. etc.
My humble recommendation is to learn how to climb a two ascender Texas System aka Jugging rig (Sherrill has an illustration somewhere on their web site). It's clean and simple, works for a variety of climbing situations and is fairly straightforward to switchover to descent.
My other choice for a first-time SRT climber is a RADS, easy to climb, very easy to switch over to descent.
Later on if you decide to put together a ropewalker etc. you can re-purpose the gear you have to build a more advanced system.
Which reminds me, don't forget to figure it out and practice a switchover down low before you get up high on the rope. It's so much fun flying up a rope SRT you can quickly forget that you have no idea how to switch to rappel, yet.
-moss