What’s your optimal price? I think most Ibanez guitars come now with their Edge tremolo, which functionally is basically a Floyd Rose. Here’s a few you might like:
https://www.sweetwater.com/store/detail/SA260FMTGB–ibanez-sa260fm-transparent-gray-burst
–The S series is very comfortable and this one would have a wide array of tones. This one does not have a Floyd style whammy, so tuning might not be as stable and you can’t ascend your note.
https://www.sweetwater.com/store/detail/RG470MBAFM–ibanez-rg-series-rg470mb-autumn-fade-metallic
–This is a comparable model to the last, except this one has a floating tremolo (Floyd style).
https://www.sweetwater.com/store/detail/JEMJRWH–ibanez-jemjr-steve-vai-white
–This one’s a bit more expensive, but a very solid guitar.
I tried to stick with Ibanez since you said you like Ibanez. Installing a Floyd on a guitar not built for one is very tricky and involves a lot of drilling. I wouldn’t recommend it.