All relative.
I solo'd at 6-ish hours, first solo cross country not long after, and after about 20-ish instructor said I was ready for the test and then just burning hours to get to the 40 hour min for the check ride- not because I'm some exceptional pilot (faaaaaaaaaaar from it I can tell you), but because I was so freaking overly cautious and massively over prepared for every little thing that my instructor never worried about me in the slightest, and I was slightly ahead of the curve on the knowledge parts of things.
For example, I had already gone through not one, but TWO separate flight school video and text book series to completion + read Stick and Rudder and The Killing Zone- How and Why Pilot's Die, and watched just about every Air Safety Institute accident case study video available
all before hour 1 of flying. Then during flight training I more or less did most of that again.
And my instructor was exceptional too. Career military pilot and military pilot trainer for a long time who then transitioned into owning/running a flight school which he's been doing for many, many years since. Absolutely phenomenal instructor and a great guy.
I actually used to drive him crazy (like literally he yelled at me about it a couple times) about how overly cautious I am in the air. Haha, he said one of the only students he's ever had where he actually encouraged to be LESS cautious. Not because I wasn't being safe in my over-cautiousness, but because I was driving him crazy with certain aspects of my flying where he felt like it was "Flying Miss Daisy". ;-)
So anyway, not too concerned about such a cross country trip myself. My propensity to be MASSIVELY overprepared and just as overly cautious means that plane wouldn't leave the ground unless everything looked amazing and was confirmed such with every tool available.
And the whole country to divert to if anything seemed off at any point during.
Bound to be a good path somewhere. And, if not, no problem just sitting on the ground waiting.
Flying with an instructor just I think would be a lot more time efficient, both as with an ultra-experienced pilot along, I can feel comfortable toning my caution down to more reasonable levels ;-), and knock out the required time on the plane itself at the same time for insurance
Plus I imagine given a whole lot of time to do nothing but mostly stare out the window with an exceptionally experienced pilot sitting next to me, I'd learn a lot just gabbing.
Probably things I'd never even have thought to ask about.
As for the transition time itself to the new type, from everyone I've talked to, including my old instructor who knows my experience best, it will take me approximately 2 seconds to get a feel for the Arrow vs the Archer (much heavier controls mainly and whereas the Archer drops like a refrigerator when you cut the power, I'm told the Arrow is more like a refrigerator with a big rock tied to it ;-), so leave a titch of power in until right before touch down from what I'm told). And, being my nature, I've already obsessively researched/watched countless videos on every facet of flying a complex aircraft (and the Arrow III). So just, you know, remember to put the gear down ;-), and all the rest seems pretty straightforward as well.
Just GEAR GEAR GEAR.
So anyway, not really worried about the new type much either.
Especially as with 10 hours before I'm allowed to solo in it, that's going to be way more time than needed to get comfortable no matter how I get the plane home.
That's all not overconfidence in my ability to fly (I know I'm a newb pilot who shouldn't be trusted in anything but clear, bright shiny skies and extra long and wide runways where nobody else is around in the air at the time ;-)), but supreme confidence in my desire to not die and keep my airplane insurance agent happy, ;-) and thus, that my nature of being overly cautious and always MASSIVELY overly prepared will continue to shine through here. ;-)
But just for time efficiency, thought it would be a good idea to do it this way of killing two birds with one stone.
VERY glad it sounds like I shouldn't have problems finding someone good willing to do it.
Main downside vs training first and flying across the country by myself, beyond adding more days sitting in South Carolina and extra expense in some ways, is if I was flying home by myself, I might take a more meandering route for fun instead of getting home as directly as possible.