In theory it's possible to digiscope with a mobile phone, although I haven't seen a quality shootout between a phone, a compact, and a DSLR.
You said in the original version of the question that "I would like to extend both the magnification and image quality." The question that raises is: what aspect of the image quality is currently a limitation? Is it the low light performance? Noise? Resolution?
There's also the question of how much of your $3000 budget you're willing to spend on experiments. It might be worth getting an adapter and a second hand DSLR which is a few generations behind the cutting edge (Nikon D40 or D3000, Canon EOS 1000D) for about $50 to do your own shootout against the FZ80. If the older DSLR holds up then a new DSLR will almost certainly beat the FZ80; otherwise you can just resell the DSLR and stick with the FZ80. Its sensor is going to be as good as a recent DSLR's so the main differences with a DSLR for digiscoping would be the extra glass in the optical path and the user interface.
There is a third option: rather than use a spotting scope as a camera lens, use a camera lens as a spotting scope. Nikon's original Lensscope is only available second hand and at prices approaching what it used to cost new, but there are third party manufacturers who've seen that the niche was left empty. It's even possible to do homebrew: I purchased my 1100mm/10.5 MTO from someone who had adapted its cap to hold an eyepiece and used it with a 10mm Plössl for astronomical observation.