Since utilions are a unit of caring and Less Wrong (the website) has helped me immensely in making the transition from a somewhat despondent college graduate to a software engineer job with an annual salary + benefits, is there any way I can donate some dollars towards the site's upkeep?

Currently the site is run officially run by MIRI, CFAR and FHI. If you want to donate money to thank for LW's existence donating it to one of those three organisations makes the most sense.

Apart from just donating you can also support CFAR by taking part in a CFAR workshop.