Only a modest amount of work outside my area, mere generic prettiness can't match local interest.
I tend to downplay my website. Most of my sales are face to face of POS at about 6 local art fairs, and two galleries. I have smaller but very lucrative venues in community centers, restaurants, city buildings, etc. One of my best venues is a top-drawer community center where I have 200 feet linear feet of wallspace in conference rooms favored for meetings of doctors, lawyers, dentists, real-estate agents etc who feel powerfully attracted to local, city boosting art in wall-filling sizes.
Particularly in respect to the fairs and galleries, the mere mention of a website can work against me because an otherwise motivated customer may decide "to see everything you have on your website." Bye bye sale. Your website can be your enemy, if you're not careful. I also don't push the site very much because it makes galleries nervous. If you want to sell from good galleries, best not to have a selling website.
Less than 10% of my sales come from somebody seeing my work for the first time on my site. I do get many email inquiries from people who would like to buy prints for about $10 (their idea of pricing) woohoo!
Marketing wise, the best thing I ever did was get into Art Fairs. Nothing will get you recognition faster. Go for up-scale, well-organized, indoor venues where you will get a high percentage of genuine, art-buying folks. Start applying now, there are usually waiting lists. After two or three of those you will find you have carved out a space in peoples' visual memory, recognition is everything. A really good art fair can get you halfway to 6 figures, so don't anybody look down their noses at those things. Except the bad ones (ie most of them) are wastes of time, you need to do some research before jumping.
So I guess what I'm saying is...in my case face to face beets the heck out of a website. The Internet is common, and everybody on Earth is competing with you. Face to face contact is special, and works for me in ways the web never could.