Usually .010 over is around 2ci.
For an example, I'm going to use a 340- 4.04 x 3.313 is right about 340", 4.04 x 3.58 is around 367", 4.04 x 4 is 410". Most 360s can go .040 over. A stock 4" bore 360 with a 4" stroke is about a 402".
Boring is not a very practical way to increase displacement. It should be reserved for cleaning up the walls if it's not a serious race effort. Over 4.1" on an A engine realistically means a siamese block- which the cheap ones (X blocks) sometimes go around $1500 bare with 3.9" bores ready to be punched out. Very few A engines should go to 4.1", and even few could be overbored after that if they ever needed to be rebuilt.
I think the cheapest stroker kits out there are around $1100. Muscle motors (racing?) sometimes has really good deals. Because strokers turn less RPMs, they can make more power with cast cranks. Of course, nowadays with the better mild cams, mild intakes, and better flowing low-lift heads there's a great potential for power at lower RPMs than there used to be- so usually it's taking more HP to really have to worry about cast cranks naturally aspirated.