When planning on what you need to buy for hammock camping, set aside some money for insulation. Even in what seems like warm temps, a hammock can get chilly overnight because there's basically no insulation between you and the air underneath. Even if you use a sleeping bag, your weight squishes it flat under you, and you end up with no bottom insulation. Last weekend lows in lower 60s, my brother made fun of me for bothering to set up my lightweight underquilt... then got up at 3am to do the same.
Hennessy has a made-to-fit, under insulation which is pretty effective. It's also cheaper than an underquilt, usually, although I'd say it doesn't pack as small. But it's also less versatile. You can pretty much only use it with model of hammock you bought it for. If you ever change hammocks, you're starting over with the insulation, too.
Some people put a regular, inflatable or foam, insulating pad in their hammock. I find that this takes a lot of the comfort of the hammock away, and I shy away from that, but it's also nice to have if you have to go to ground.
The tarp that came with my Hennessy was serviceable, but barely. But then I also will spend multiple days at a campsite, so a tarp that just covers the hammock will only keep my dry or shaded if I'm in the hammock. I now have much larger tarp that I can comfortably spend time under and that doesn't have to be pitched right on top of the hammock in bad weather. It's also lighter than the Hennessy stock tarp, but probably packs to about the same size. I believe if you order direct from Hennessy you can trade up for a more full-coverage tarp for a little more money. That might be worth considering.
One thing that I absolutely did not care for on my Hennessy was their prescribed method of attaching it to the trees. After my first weekend in the hammock, I went searching for alternatives and found them. I changed out my hammock suspension system twice during the time I had it.
Hennessy is great, and it's a great value, and a great, one-stop-shop for your hammock camping needs. But you end up locked into their system, with a tarp and an insulation system made specifically to fit their hammock and no other. Also in terms of price, consider the base price, but then also consider the price with a larger tarp and the price of an aftermarket suspension system, if you think you might go that way.
My current hammock is a Warbonnet Blackbird XLC. It's much roomier than my Hennessy. At 5' 10', I can't speak to what it would feel like for you, but it seems much, much roomier than the Hennessy Expedition I started with. I was fine in the Expedition, too, but I'm definitely happier with more room.
I don't think you'd be unhappy with a Hennessy, but if it were me, having already spent some time in a Hennessy, I would say to shift your budget towards a nice hammock, and cut costs elsewhere, where it will be easier to upgrade later. When I lost my Hennessy, I had to replace all my hammock gear at once, so I bought the XLC, then bought a relatively cheap sleeping pad to slide between the layers of the XLC while I saved up for an underquilt, and got a cheap mummy bag while I saved up for an overquilt. I did splurge on my large, SuperFly tarp, but that's another area where I could have found something serviceable and cheap, and upgraded later.
Good luck, and I hope you enjoy it. I bought my Hennessy eight years ago, and I don't think I've camped on the ground since then.