You can figure the field of view of a telescope and camera combination by the following method. You need two things - the focal length of the telescope and the linear dimensions of the camera's sensor. I looked up the focal length of the Lunt LS100THa as 700mm. The ASI174MM camera has a sensor size of 11.3 x 7.1 mm. I'll demonstrate with the specifics for your setup.
You must calculate the angular field of view separately for each sensor dimension. Since the vertical dimension is smallest, that will be limiting as to whether the Sun will fit in. Here's the formula which gives approximate field of view:
Angular Field of View = Sensor Dimension ÷ Focal Length X 57.3°
Note: 57.3° = 360° ÷ (2 pi) = 1 radian
So applying the formula to your case we have:
Angular Field of View (vertical) = 7.1 mm ÷ 700 mm X 57.3°
Angular Field of View (vertical) = 0.581°
According to Wikipedia, the Sun's angular diameter varies from 0.525° to 0.543°, depending on Earth-Sun distance.
So as you have seen, the Sun is a tight fit within your field of view. You didn't get the wrong camera, but you'll just have to be careful to center the Sun's disc. Be watchful if it drifts off-center. You don't have a lot of wiggle room. One positive thing is that you've put nearly the maximum number of pixels under the Sun's image.