I purchased a Hepburn Long range Creedmoor recently. caliber is 44 2 6/10. This is the most obsolete, and first paper patch cartridge I will be loading for.

Bore slugs to .4500

It appears I can back order brass from Starline.

My question is what dies should I be looking for, or what can I ‘make do with’ for now? 

I can find a set of 45 2.6 Sharps Straight dies…would those work?

Please enlighten me.

Don't know if they still do or not but Saeco makes dies for it. CH 4d probably offers dies, and just for kicks and grins it might not hurt to see if Buffalo Arms has a set on hand.
Is your bore .450 or is that the groove diameter?

CH may have or can make dies for that, Buffalo Arms may have brass/ammo for it. One of the reamer makers can probably supply you with the proper chamber drawing. Depending on what chamber it is, bottle neck or Remington straight, a quick peek into the chamber with a light will tell you that.  I know the straight can be made from 45-2.6 cases, just a matter of full length resizing.  If its the bottle neck the same 45 case can be used, just necked sized down to form the shoulder and then fire formed. The case will swell to fit the chamber but will leave the web area a bit undersized. Once they are fired twice they should be stable and work just fine, all you would have to do is just neck size the case. If you are lucky the chamber neck will be tight enough that a PP bullet will just be a nice fit in the neck without having to do anything else too it. If the neck area in the chamber is a bit big, a bushing die would be your best bet. 
Sam

A chamber cast will give you the case length, diameter of the throat and if you take an inch or so of the rifling with it will give you the bore and groove diameter. 
From those measurements you can then determine proper case length and bullet diameter.

I am hopeful that Starline allowing me to backorder the brass means they will make a run at some point. Currently they wont let me back order 38/55 brass.

I wont have time to start dealing with this gun until next winter, so a wait so it hurt me. It will pry keep me from ordering dies. My Cartridges of the World book leads me to believe 45-100 sharps straight dies would work for this 44-100.

If the brass chambers when you get it and you are using paper patched bullets, dies are not required at all.  Stick with black powder and go with a dual diameter paper patched bullet that finger seats into the fired case with just enough tension to hold it in.  The powder charge will hold the bullet from going too deep into the case.  After firing, deprime and clean the brass then prime, charge and finger seat the bullet.  First step is a chamber cast to see how long the freebore is so you can order a mould that the base diameter section is the right length.  Now if the brass needs to be formed then you will need a sizing die but a seating die is not required in my opinion.  Tom

Most of the large capacity .44 cases used a .452" bullet, or close to that. The .450" groove is a little tighter, but not much. 
I have both Ballard and Remington single shots in various .44 cartridges, and all slug to about .452" groove. Most of these used a paper patch bullet of .446" dia. and many modern barrel makers use a .446" groove diameter for the new .44 caliber barrels.