I suspect this is a foreign firearm imported by that company. Unless it is some special target rifle, a 22 single shot is probably only going to bring $75 to $100 in used condition.
100 USD
10-100 USD or so
You will have to take it to a gunsmith for a chamber cast
FIC was an importer, not a manufacturer.
Blue Book of Gun Values
Most manufacturers of firearms keep detailed records of various models and their respective manufacture date. Check out the Colt firearms website as a starter
The Sears Model 42DL .22 caliber rifle was manufactured by Marlin Firearms, their Model 80. Check with Marlin for parts availability.
http://www.cornellpubs.com/Templates2/FI%201969.htm Look at the table of contents and see if you can find your rifle. Firearms International was an importer, not a manufacturer. They imported Sako, FN, Garcia, LaSalle, AYA, Rossi, Star, Astra, etc.
It was manufactured in 1901. The people at the Cody FIrearms Museum can tell you what caliber it was when it was made (and it should still be the same if it has not been rechambered) if you send them the serial number and $50. Or you could read what is stamped on the side of the barrel.
Firearms International was an importer, now out of business I believe. It is unlikely that they would have actually marked the gun with their name before these markings were required in 1968. There are probably other markings that may identify the actual manufacturer. Double Action refers to a revolver mechanism and I have no idea what you mean by a doubleaction trigger on a rifle.
Daisy did briefly manufacture .22 caliber firearms. They also manufactured a rifle that used caseless .22 cartridges until the BATFE ruled that they WERE a true firearm.
DO NOT DO THIS!!!!!!!!!!!!!!!!!!!!