The hepatic adenoma is a benign tumor. Your doctor avoids biopsy because these tumors may bleed badly when punctured. He does not recommend surgical removal because he probably thinks it's too small (less than 5 cm).
However, just to be on the safe side, you should probably seek a second opinion from a hepatologist, specializing in liver cancers. The main reason is that hepatic adenoma may be difficult to distinguish from hepatocellular carcinoma (HCC).
The catch 22 of early liver cancer diagnosing is that the biopsy needle may "seed" cancerous cells from the tumor (IF it turns out to be malignancy) in the rest of the liver and speed up the cancer metastasing. So often the approach is to wait and see - by ultrasound and CT scan or MRI - for 3 or 6 months whether the abnormal mass grows or not.
Also, you should regularly check your AFP. Very elevated AFP may suggest HCC. A HCC may start growing in an initially benign hepatic adenoma.
If you have HCV and cirrhosis, your HCC risk is also increased.
So you may consider surgical removal, even though your adenoma is small (or precisely because of that) in order to avoid future complications, including the risk of sudden rupture and internal bleeding.
See http://www.emedicine.com/radio/topic329.htm
Another possibility may be destroying the adenoma by ultrasound guided tumor ablation.
See http://www.diagnosticimaging.com/specialedition/profile-onik.jhtml
In making all these decision, you should seek a second and even third opinion, if necessary.
You can also check out these threads in the forum about AFP and the HCV/HCC connection:
http://www.medhelp.org/forums/hepatitis/messages/46307.html
http://www.medhelp.org/posts/show/270918
Wish you luck!