not exactly sure how I can sound modern and still like it myself.
THIS ... is the crux of the problem!
Not sure how it will work out for you, but my solution, x years ago, was to go "f*** it, I'm playing what grabs me". I reasoned that two things could happen:
1) I end up liking something "modern" and automatically start picking up on it and getting interested.
2) The old sh1t I'm fascinated by keeps coming round and getting fashionable anyway
I've always been into 60s and early 70s pop, country, etc... But grew up guitar-wise in the era of Rainbow, UFO, Whitesnake, Scorpions, Motorhead, Saxon, Girlschool. Friends etc were pointing me at Led Zeppelin, Deep Purple, etc. Somewhere in that lot I spotted the blues which led me to the Rory, Lynyrd Skynyrd, Free, etc, etc.
So, although I was a NWOBHM dude, I never really learnt to do what the guitarists in say the Scorpions or Judas Priest were doing - to me, they're modern(!). I was more going back a step, even then. Every now and then I'd hear a riff I liked and nick it, but otherwise, as a guitarist, what the rhythm/lead guys were doing in old skool metal didn't make me want to play like that - so I never tried to figure it out.
At the time, from the point of view of "modern" or "fashionable", that was no bad thing really - being able to play blues rock rhythm and lead, with a few quotes from old skool metal guys, fitted into "popular" a lot better than being a straight metal guitarist.
Nowadays, I'm not so sure.
The bottom line, for me, is you've got to be able to get off on playing what you're playing - otherwise, why are you doing it?
Get a seven-string and a mesa type (I checked these sort of amp tones out through modelling and I KNOW I don't want to be going through that sound!!

- quite exciting initially, but just doesn't sound/feel very "rock and roll" to me

).
When you've got them, just find out what they do in your hands. You're bound to find something you like about it... and if that fits with what the others are suggesting as "more modern", cool... if not, get a Tele and start learning Keef riffs - that'll
always be modern
