I think I'll just move the controls inwards, saw the ends a bit so the handlebar is more narrow, and add some Ergon ends for a bit more confort for day-long rides.
Alternatively, what about switching to a cowhorn handlebar and add those vertical handles I've seen on some bikes that'd let me sit more upright on outings when my neck hurts?
An alternative: "Bike Stem Raiser"

(
source)
BTW, what's a "backwards-swept handlebar"?
The GC1 is a grip developed for the ergonomic demands of users of bicycles with backwards-swept handlebars, such as those found on city bikes. Using tradition grips on these bikes causes a kink in the wrist. The GC1 corrects this wrist position through its anatomic and ergonomically correct form.
ERGON BIKE ERGONOMICS