Hi SCN27 and welcome!
It's good that you are aware of the possibility of lyme disease and posted here. Knowledge is power.
First of all, spiders and ticks are in the same family. Secondly, most people don't even get a rash. Ticks do "not" have to attach themselves in order to inject lyme bacteria and they also have a numbing agent so one doesn't even know if they were bit. It only takes a few seconds for a tick to inject bacteria.
My only suggestion to you is if you are truly worried, it would not hurt to take 2 or more weeks of Doxy (400 mg a day) just to be on the safe side. I would also keep a daily log of how you feel.
Cheers!
Denise