That is going to wreck your microbiome and if you aren't taking full dosages to kill everything each time you massively increase the already elevated risk of antibiotic resistance. Don't do this and if you're doing this definitely don't just take "some" - always finish the FULL antibiotic dose. But remember that you're massively weakening a system that you need to stay healthy each time

As a person who lives in an area known to have Lyme, and as an avid hiker, it is not hard to do tick checks periodically. Ticks don't embed immediately, and generally there is a window of several hours up to about half a day where you can remove a tick safely with little to no danger of infection. Even then, not all ticks carry Lyme, and not all Lyme infected ticks will pass on the disease.

If you do find an embedded tick, monitor the site after removing and disinfecting. Talk to a doctor. Getting treated for Lyme the moment symptoms become apparent (the characteristic bullseye) is going to be much better for your health (and everyone elses) than preemptively guzzling Amoxicillin every year.

Honestly Lyme disease is blown way out of proportion. It’s not all that hard to check for ticks to avoid it, and the course of the disease with treatment really just isn’t particularly serious for most who get it. There’s even growing skepticism around the presence of some of the reported sequelae.

The big things if you are in a Lyme disease area are to check for ticks and just go to the doctor if you either have the rash or symptoms.

Regularly taking antibiotics is awful for your gut health, somewhat risky from an antibiotic resistance perspective, definitely risky from a C Diff perspective, and probably wouldn’t even help very much since you do need to take them somewhat promptly after infection.

As someone living in an area with lots of Lyme disease and tick borne encephalitis I recommend everyone in the same boat to get a vaccine for TBE. It's not expensive and it can save your life. At least with Lyme, if you notice it you can get pretty good treatment. There is no specific treatment for TBE. You're either lucky or you end up disabled for life or dead.

Also, there are over the counter blood tests for Lyme. I buy one at least once a year just in case.

Finally, let me comment on the practice of "tick testing". Many people (including myself) want to send their ticks for testing to various labs that claim "24h results" and modern methods. Unfortunately such testing is a bit pointless, because most ticks in endemic areas are infected and still one can get lots of infected ticks and be fine if they are removed quickly.