Transcribing song with absurd number of ties - is there a better way to notate this song?

Hi everybody! Disclaimer: I am still pretty new to notation. Using Guitar Pro 8 if that makes a difference.

Score I'm working with: https://drive.google.com/file/d/1eoQrHIEXLh2IE0R9xRSShbskeNCZOQkK/view?usp=sharing

I am transcribing some of my band's music, and I've run into an issue with one particular song. The intro seems to have a strange accent that throws off the first beat of the main riff, so my score has a ton of ties. Something like 75% of the bars probably begin with a tied note. I tried playing around with the timing on the intro to make the first note of the main riff fall on the first beat of the 2nd measure, but that threw off the timing for the drums. Only by having all these ties have I been able to make the snare fall squarely on 2 and 4. Am I just doomed to begin every bar with a tie?

I haven't encountered something like this yet in my transcription journey, so any pointers are greatly appreciated. Thanks!

Edit: Transposed guitar an additional octave up, switched bass to bass clef, and switched to the final tuning to avoid tuning confusion: https://drive.google.com/file/d/1oBqqlDFoeWk23xRwp-p5wBZxYTa9KWTu/view?usp=sharing