Charles, any newbie reading this thread would assume that working Puerto Rico or Colombia was a big deal on Ten. From North Carolina, a good DX location, you should be working the whole world on better days, including Africa, Asia rarely, and Europe many days.
What is your station and antenna?
Consider that some huge U.S. stations worked over 160 different countries in this weekend's CQWW DX contest. Yes, they were running full power and big stacked Yagis, but even a dipole and QRP power could work you perhaps 100 countries in a year.
Get on the band around 7 AM to noon and point your beam (I think you said you had one) toward Europe... and listen for weak stations with accents.
My radio is a FT-840, 100W and a 3 Element mono band crushcraft beam.
I also have a 10 double bazooka dipole up in a tree.
I work from 6AM-2:30pm M-F and a lot of Saturdays.
When I am off on Saturday I get on from 7AM -12 when I can.
I get on around 3:30PM some during the week and try to catch a few DX stations before the band closes.