Flush Mounted Patio Sliding Door Handle Needs Exterior Lock and Handle

I am afraid we don't have any other option for an outside pull on the 82-008 and 82-008K other than what comes with the handle set itself. You would indeed need to cut a hole in the outside frame to install this lock properly, but even then I'm not sure if it would work, as your door's outside lock configuration looks pretty unique. Does this door lock with from a tooth that extends from a hole in the door and latches to a keeper on the door frame? If so, that's like our 82-008, and so it might work; but again, I can't make any guarantees. 

Sorry if I wasn't clear--no, the only outside pull we have that works with the 82-008K is the very pull that comes with it. There are no other options. But if this door is 2-5/8" thick, to be honest I have serious doubts that even our 82-008K will work. It's really meant for doors that are just 1". In some instances of a bigger door, we've been able to use washers to pack out the handle set, but in a case this extreme I just doubt that's going to work. 

Another option would be to scrap this entire setup and see if you could mount a handle set like the 82-005 to this door. This is a surface-mount handle set, where the lock is embedded within the inside pull. I think you might be able to do this, but the problem would be finding a way to cover up the hole for the original box set handle set. You'd also have an issue adapting a key lock to this handle. The 82-306 Keyed Outside Pull is compatible with the 82-005, but I just don't know if it's going to work with this door's thickness. Still, it may be our best option. 

I'm sorry we don't have anything closer here for your application.

Maybe I can help. While I think the surface-mount solution is possible, I'm wondering if the 82-002K Handle Set is actually what you had. Note that this flush handle set has the locking tooth a bit further down than the chrome one you were originally looking at. Check the door jamb. See if there are two vertical holes where a keeper might have been located. If so, this door might have used the 89-003 keeper, and if that's the case, you might be able to get the 82-002K to work here. It would take having long enough screws, and then packing out the tooth, so I can't guarantee it would work, but it's worth considering. See if there was space for a keeper originally. 

If not, the issue with the 82-306 is both having long enough screws, as well as I don't think the keytail is going to reach through the door, as it's max length is 2-1/4".