As with any firearm, it is not possible to accurately appraise a gun without seeing it. Recommend that you see a local gun dealer for an appraisal. You can also do your own investigation by looking at other models being sold that are in the same condition as yours. Try the gunbroker.com or a periodical called "The Gun List" You can also reference the Blue Book of Gun Values which can be purchased on line at various retailers.
50-250 usd
Yes, in the T Bolt
The exact value of a Belgium Browning T-bolt is actually dependent upon a number of factors. Some of these factors would be the age and condition.
Browning didnt make a 22 bolt action single shot. They made the T-Bolt and A-Bolt models in .22LR, but both had magazines. None were single shots.
Find a copy of Matt Eastman's book on Browning
On the bottom of the barrel, next to the forearm.
your browning T-bolt was made in 1967.
Your Browning T bolt was made in the year 1971.
Try e-gunparts.com, gun shows
No
Without a detailed description of all markings, features, box, papers, accessories, condition, etc.. 150-500 USD
IIRC, you can get a manual on line at Browning's web site