I think it really depends on your situation, in terms of how likely you are to receive external investment like you mentioned (and when), and how much that $175 / year matters to you. By external investment, I think venture capital is probably the most relevant category - other types of investors may not be as insistent.

For example, amending the certificate of incorporation to authorize more shares is probably going to cost around $500 a minimum (and definitely much more if you use a lawyer). That's roughly triple the $175 in tax savings you get from authorizing 5,000. But of course by then, you probably would have already issued shares to people, so you would probably want to do a stock split. That's going to definitely require a lawyer... my guess is at least a few thousand in legal fees.

So it seems like it could make sense if (1) you don't plan to ever raise venture capital or (2) you think it'll be at least 3 years or so before you raise venture capital and you can hold off on issuing stock until then (unlikely to be a good idea). I suppose the analysis would also be affected by the time value of the $175 / year. E.g. how much more that $175 means to your company now than it will a few years down the line.