The phrase "more times than you can shake a stick at" means an abundance or overwhelming quantity of something. There are several synonyms for this phrase that can be used, depending on the context and tone of the sentence. Some of these include "a dime a dozen," "in spades," "galore," "countless," "myriad," "never-ending," "a profusion," and "umpteen." These synonyms can help make your writing more varied and interesting while still conveying the same idea of an excessive amount of something. Whether you choose to use the classic phrase or explore alternate options, the end result will be sure to leave a lasting impact on your reader.