Purely from a casting perspective, it is probably possible to get this to work, however, to be honest, it is hard for me to think of a worse rig for a beginner to start with. Well, maybe a long-belly full sinker. That would be worse.
There are a bunch of potential issues.
First off, you are talking a full-sink line. Full floaters are the easiest to cast, sink tip lines take a little getting used to, full-sink lines are yet more problematic, frankly they are a bit of a pain to cast. You are going to have to get your head up to the surface before casting, your timing must be spot-on so your line doesn't sink again, there are just a whole set of issues you don't want to worry about as beginning speycaster. Don't get me wrong, a really short full-sink line is not *that* difficult to cast, but, it could really complicate the learning process.
Second is weight. I don't have your rod, but I looked at the Rio
specs. They are recommending around 350 gr for a Skagit head, and around 300 gr for a Scandi head. A skagit head is not a full line, you can think of it as the fly line "belly" to which you add an additional tip to complete the rig. Considering a short skagit head in the 17-20 foot range, with the tip, comparable total line weight would be upwards of 430 gr, length in the 27-30 foot range. Compared to this your 300gr outfit would somewhat light and a tad short. Rio
recommends around 300gr for a scandi head, for touch-and-go casting you would be right on their spec for touch-and-go casting and, again, a bit short, but not excessively so. Shorter may be better for a full-sink in terms of making it easier to extract the line, but, it also complicates your timing, which is one reason beginners struggle with short heads on short rods. Not a show-stopped, but a bit suboptimal.
Third is taper. I believe the Teeny is a level line? Level lines are not so fun to spey cast. And, all the stats I quoted above have baked into them assumptions about taper which your line does not satisfy. Again, this is a long way from being a show-stopper, but it is just one more variable that, for a beginner, adds potential frustration.
Where in NorCal are you located?