I am a chunky gal (at 5'6"), and my husband is a large man (6ft, ~300lbs), and we have several sling options that fit both of us. You definitely will be able to find something that you like!
My husband really likes the Ergo Sport - it fits him well, and it is easily adjustable so that I can use it too. It has become a go-to sling for both of us.
I also love my Maya Wrap Ring Sling - I have the second to largest size, and could have gone smaller. My husband doesn't use this, though it does fit him.
I have a Sunshine Baby mei tai - Dawn (the lady that owns Sunshine Baby) made me a custom sling before my baby was born. It fits wonderfully and is very comfortable. This also fits my husband, but it is a "girly" print (blue flowers), so he won't use it.
We also have a Wombfruit cotton gauze wrap: Love love love it in the heat of Arizona. This was also semi-custom. When I ordered it, I put in my clothing size and the owner made me the right size wrap. It fits me perfectly, and it was really inexpensive. It is like pulling teeth to get my husband to use any sling but the Ergo, but I bet this one would fit him too.
Lastly, when my babe was a newborn, I made a Moby for myself. I looked up instructions online, then I went to the fabric store and picked out some lightly stretchy fabric that I liked, then cut it to size. I think I went with 5.5 yards, and it was plenty. The total cost for this was about $10 and I wore it non-stop for 2 months. Best $10 I ever spent.
Feel free to PM me if you have any questions about where I got my slings or making one yourself.

You have lots of fun sling options! Be careful though, it can get addicting.