That is where the triangle thingies may help. When you have a partial UQ, you are pulling over a longer distance and it gets messy. The triangle thingies are pulling from a point a foot or more closer to the center, and pulling in a more upward direction rather than a longer/lower direction from the ends of the hammock. You need a ridge line to use them too.
Other than that, yeah too tight. You might try a prussic hitch farther up the suspension for an anchor point. That should move the UQ suspension up and away from your neck/shoulders, but you still end up with the strings trying to move inward and across your head or feet.
I've wondered about adding light fabric to each end of a UQ to end up looking like a full cover and suspending it from the ends of the fabric. It could be a rectangle and gathered, or a truncated triangle (the top cut off). You might get a little more weather protection in the bargain and you could slip a pad in the foot end for your feet with a partial UQ.