I haven't seen one unless its a small light weight model, I think all the decent size ones are well over 12. At 35' your talking major pin weight for a SRW and tall. My 29' is about 2,000 and its a light weight model with no slides.
These small ones are under 12':
https://www.kz-rv.com/products/sportsmen-classic-travel-trailers/190TH.htmlThis one is a little over:
https://www.kz-rv.com/products/sportster-travel-trailer-and-fifth-wheel-toy-haulers/travel-trailer-toy-hauler-270THR.htmlThe Desert Fox TT's are listed at 13'. I have an old Adventure RPM light weight 5th wheel TH and it was one of the shortest models I could find with 29' of length. Its close to 12' when level, the single A/C is in the middle which helps. But my 3500 Ram 4x4 truck pulls it 2" nose high.
Build a RV carport about 15' tall. :)