I play Drop C# on my Jaguars with no issues.. more Garage, Surf, Psych and Doom than metal - but Metal without Distortion + Reverb = Surf Rock...so something within these boundaries is easily possible. Haven't tried Drop C on the Jag yet - but on a Jazzmaster or a Toronado this should work with ease!
So these might possibly work for you (they are quite rare today - but once they show up they can be had for about 600-800€ in my area.
https://www.musikhaus-korn.de/de/fender ... k/pd/16189
Close to that: Blacktop Jaguar and generally Blacktop and Player models... Jazzmasters too of course!
And even if you find one with a Vibrato that would suit you otherwise - there are hard-tail conversion plates... or you could set it up so stiff that you won't have any unwanted movement...
But maybe this is just the thing you're looking for?
https://shop.fender.com/de-AT/squier-el ... l?rl=en_US
or the new Squier Toronado or if you find a Fender one used...
https://shop.fender.com/de-AT/squier-el ... 00502.html
Today's Squiers are all pretty good quality - but there is always room (and at their price range also a budget) for some serious upgrades like new pickups and electronics - AND MOST IMPORTANT A PROFESSIONAL SET UP! ;-)
These also come in a wide variety of colors
https://www.thomann.de/at/dangelico_pre ... _green.htm
These could work too...
Ibanez Roadcore series?
Not entirely offset but pretty cool - thought about buying one a few years back - as they got some similarities to the iconic Rickenbacker Bass shape:
https://www.andertons.co.uk/brands/sche ... zer-in-blk
There is plenty of good and usable stuff out there - any colors you want to avoid/it should be to narrow things a little bit down?