Thanks everyone for the replies. My main beef with the hammocks is they are 'relatively' heavy - the absolute lightest model that Hennessey offers comes in at 765g. That is around the weight of many solo shelters with necessary poles poles, such as the SMD Lunar Solo, TT Sublite or GG The One.
I guess what I'm getting from all your comments is I'm going to either have to take dedicated tarp poles, or if I'm in a particularly sticky or treey area, just use whatever is at hand.
With that in mind, my next decision is whether or not to go for a smaller tarp with a bivy, or something that will provide complete storm protection and just bring along a groundcloth to put underneath my pad and possibly a bug net if it is warranted. Any opinions, or favorite tarps, bivies etc?