The Edit/Animate Tool is probably the most accessible when it comes to 'transforming' images.
Note here that I am using the term 'transform' to include all of the various transforms; position, rotation, scale, etc.
There are a few other ways but they might take more mental juggling than standard keyframes.
They are options however than you might find acceptable.
I'll hint at several and delve more deeply into a few that I think you might find especially useful.
Type of motion control that generally don't require (or present) keyframes:
1) Motion path
This does tend to set two keyframes; one at the beginning of the path and one at the end.
A value of 0% will designate the start of the path.
A value of 100% will designate the end of the path.
The values can be entered via a number of different means to include via the toolbar, function editor, curve editor, mouse movement of the object on the path, etc.
2) Expressions
This technically speaking creates one key for a transform channel that specifies what the value of the transform will be on any given frame.
Instead of adjusting keyframes the expression is adjusted to achieve the desired results.
3) Curve animation
Every channel's values (via the Function Editor) can be exported/saved out to and reopened/imported.
This is accomplished by Right Clicking on the Channel name in the scene cast listing and saving or loading a curve file (.curve extension).
4) Similar to #3 Data Export (access is via same method as saving/loading curve files)
This is very similar to exporting/loading Curve data but the output is in a different format.
The format can be used via File Interpolation where each column of a comma deliminated set of values can populate a channel.
5) Raw drawing
This sounds like it isn't much of an option for you as it would likely use the Selection Tool to advance images in different directions, scales, rotations, etc.
Use of onion skin is generally recommended here.
In general any transformation not affecting the pixels themselves will generate a keyframe.
If we were to look more at Number 5 there are some interesting options such as temporarily creating keyframes in order to position an object/drawing but then merging the images down to remove the keyframes and leave the transformed results.
P.S. I like Darren's suggestion for simply hiding the keyframes via use of pegs. :)