Yeah I have a tripod and monopod that can handle it (Gitzo + RRS).
By way of potentially spending more of your money, you may have a ballhead that can support the weight (my RRS BH-55 would do fine) but you don't want to use a ballhead with a long supertele. If you don't have one, you'll want to get yourself a gimbal head - a Wimberley II or RRS PG-02. The problem with a ballhead is that the weight is balanced above the pivot point, meaning a high potential for the lens to flop over, minimally slamming the lens into a tripod leg, possibly pulling the whole rig to the ground. With a gimbal, the weight is balanced below the pivot point (in effect) which means if you let the lens go, it just stays put.
There are side mount gimbals, that use your existing ballhead dropped 90° into the notch, the Wimberley Sidekick is the best known example. A robust ballhead can handle a supertele like that, but with the 600 I, I'd recommend going with a regular gimbal head, not a sidekick-type.
Oh, and if you don't have one you may want to consider a leveling base for your tripod. No need with a ballhead, but makes life easier when using a gimbal.