I'm looking at spending maximum 100 on the mouse. Maybe 50 or so for the keyboard.
flip these around there's not many good mice above ~50 meanwhile a good mechanical keyboard is gonna be at least ~80
copypasta of mice with top-tier sensors:
Zowie EC1 evo Zowie EC2 evo Zowie AM Zowie FK Logitech G400 / G400s Razer Deathadder Razer Abyssus Roccat Savu CM Storm Spawn
if you have a big hand and palm the mouse, EC1 and G400 are likely the best for you. Though I think the EC1 is better than the G400. The thumb buttons are more comfortable and accessible, and the there isn't an annoying ridge on the right side of the mouse that makes my ring finger uncomfortable.
backloggery.com/Garquille "Education is what remains after one has forgotten everything he learned in school." ~ A. Einstein
For a more comprehensive list of mice with decent sensors that do not have prediction or acceleration, as well as general information that may help you find a mouse that suits your need, there is this topic:
I5 3570 | GTX 760 | FILCO Majestouch 2 tenkeyless | Zowie EC1 Evo White | Asus Xonar DGX | Kingston 120 GB SSD | Sennheiser HD 518 | Samsung S24A350H