It also may not hurt to talk to a bike fitter, even with a road bike.
You're supposed to get a fair amount of support with core muscles and ride fairly light on the bars.
So things like moving the seat back or raising the bars some might make a significant difference.
And, of course, pay attention to your body. If something doesn't feel right, find a better grip (or ride one handed for a bit).
But, I'd also encourage starting slowly, so with either the recumbent or the tadpole.