Look at any of the Formation Recce Regts (I think LD, QRL, HCR, 9/12L and can't remember who else). Though RTR are a top bunch of decent straightforward blokes, and you could get a lot more variety anywhere in the RAC than you might have got a few years ago. You could spend more time on MASTIFF etc than CR2.
However, you might want to redefine yourself a bit: stylish, debonair and AUSTRALIAN?? Sounds like a contradiction in terms to me. And expect a lot of p1ss-taking about your failing national cricket team. To lose the Ashes TWICE in four years seems a touch sloppy....
I am on track to take up my commission in 1/15th RNSWL after having slogged through the Aussie FAC over the last 3 years, and am working through the immense paperwork to get myself into the British Regulars and attend RMAS.
My background from the Australian Army is infantry, being trained up as a rifle platoon commander, and light cavalry in my trade. Light cav here is land-rover mounted, and a bit of a joke. I am attracted to the cav game, however, and prefer sneaking around hiding big things on wheels behind bushes than the idea of track bashing a 60 t. monster...
This is not a problem, you will be trained to do things properly including the terminology, which hardly ever concerns anything to do with mobile knackwurst.
I don't come from money, fought tooth and nail to get into the best university in the country, and like to think I get places on merit. Can't say i'm overly fond of horses - one looked at me once and it didn't look happy. Seems a bloody long way up to be sat on one too, i'd have joined the Air Force if I wanted to gallivant about with some beast strapped to my crotch(1)...
...you join the RTR, probably 2 RTR, they're not far from Kangaroo valley for when you get homesick.
Seriously, I presume you've read the myriad threads on this subject?
We had, back in the day, three different Aussi (Exchange)Sqn Leaders in 3RTR. They were, universally, excellent.
The lads enjoyed working with them as they called a spade a shovel. While I have nothing personal against the Wallopeurs of the British Army, you may find the RTR suits a bit better.
That, and the smell of horseshiit is much less.
(1) I would suggest that the beast you need strapped to your crotch is a CR2.