Long and the short of it, I did find a relatively easy way of leveling a rifle scope. Determine your proper eye relief before starting and mark it on the scope and mounts with an ink pen, can be rubbed off later.
Get any form accurate level, (I got a digital one from Trend that works well, also magnetic), and find an 'intersect point' in your house/shed.
This point can be a window frame, door frame, border around the floor, anything so long as there is a vertical and horizontal intersect.
Measure this intersect to make sure it really is a 'perfect' 90 degree angle that is being formed.
Now, take the rifle and place it on a bipod, helps if you have a swivel one that locks. You are trying to line it up with this point.
With the scope off the mounts, there should be enough space along the flat integral top rail (on Tikka T3's) to measure with the magnetic level.
Prop the butt of the stock up with hard-cover books/flat cards to level it (not necessary really, but a bit more convenient). So now you have your rifle level with the intersect point, but the eyepiece/buttstock end facing it, not the barrel end.
Place scope in mounts (lightly tightened), turn off lights, use a small torch to shine through the objective lens. An adjustable desk lamp is even better. Turn the ocular focus till the reticle is sharp and can be clearly seen on the intersect point (remember to properly refocus afterwards!). Either line it up to point directly on the intersection, or align the rifle slightly to the side for a parallel reference.
Now, align away until you are happy that it is level. Make sure the eye relief marks match up and cautiously tighten it. Re-check after tightening.
All done 'perfectly'. No plum bob to mess around with.