On most tractors, the rear remotes and backhoe all feed from the hydraulics downstream of the front loader. So it sort of doesn't matter what you install first, it's all coming from the same place. Just be mindful of how the hydraulic system works on that tractor, whether or not a continuous loop is needed, whether the final set of valves need to dump to the reservoir -or- 3-point hitch (which then dumps to reservoir) etc. That is the important part. Whether you're plumbing in a backhoe or valves or both isn't real important.
When I look at the cost of rear remote kits, the main expense is in the valves, then the various shorter hoses needed to plumb the valves to quick connects, then the quick connects and mounting brackets. You'll need all that stuff whether or not you already have a backhoe. The feed line running from the loader to the valves (or backhoe) is probably $50 or less and you will need it whether installing rear remotes, backhoe, or both. So you are saving a little money by tapping into the existing backhoe supply line, but not a whole lot.
If there is any chance you'll want to use rear remotes and backhoe without first unhooking the backhoe lines, then take the time to install that way. Won't cost much extra (one additional hose) but now is the time to do it.