What aspect of the corded feature bothers you? Cordless vacuums are in its infancy right now and I'm presuming your issue is you have a large space that needs vacuuming so runtime would have to be a consideration. You could ostensibly be trading some cord issues for runtime issues where you'd have to take a break in-between cleaning your whole place. Comparing the Dyson V11 versus the V7, the runtimes on standard and max setting are 60/30 minutes versus 30/10 minutes, that's with a $200 price difference, therefore I'm not sure if more economical brands can compare.
Personally I would buy once and cry once, but I'd also stick with corded for now as it would provide you with the best value unless you are insistent on getting a new cordless. For high end cordless it seems like Oreck is Made in USA, but not certain if that's only per model, apparently you should avoid Shark vacuums on the budget end, and I'm not really sure if there's a definitive high value reliable economical cordless vacuum, so it's a gamble in terms of recommendations. If there's any specific issue with the corded style that's not due to the sole existence of a cord, perhaps there's a model with a cord mechanism that appeals to you?