Quoted from Spyderturbo007:
Anyone have any brands they like? I don't want to pick up some piece of crap but I don't want to spend a fortune.
Straps aren't really branded, per se. Unless they are stamped to match the manufacturer and/or made for a specific watch. In your case you could go with any 22mm strap you like.
I'd avoid Milanese mesh (much as I like it) with that watch due to the large-ish 43mm case size. Milanese mesh is better suited for smaller case sizes like 40mm and under.
If you wanted to sport it up you could do shark mesh. That would give you the chainmail armor look similar to mesh but with larger links.
Or, if you wanted to dress it up, you could do beads of rice: https://strapsco.com/product/beads-of-rice-bracelet/
I like Strapsco because they always have buy 2 get 1 free. Use code FAM15 for another 15% off (hopefully still works).
The "super engineer" would also look good, as it befits techie-looking watches like skeletons.
Maybe get an engineer, shark mesh, and beads of rice from Strapsco (they also sell the link removal tools & extra spring bars) and mix it up different ways depending upon your mood. I have 2-3 more straps and bracelets than I do watches. Really helps to extend their usefulness and versatility.