As you mention it is
similar in principle to choosing any off-the-shelf product (requirements, evaluation, short-list, trial, etc).
[a]ny links or perhaps suggested processes?:
For software in general How to Choose Business Software and How to Choose Software, both offer different styles. The first is a common step-by-step 10 item list with some additional Tips, the second is one man's opinion in 3 paragraphs followed by 2 marketing his own. The second, however, is more closely related to game development because it focuses on productivity exclusively.
Finally, I just found How to Choose a Mobile Game Engine, but it is not yet published.