Welcome to the forum Brett K.
A useful guide to the terms we often use concerning muzzleloaders can be found in our Glossary of Muzzleloading Terms. This link will get you to it.
http://www.muzzleloadingforum.com/fusionbb/showtopic.php?tid/230025/
I think it's fair to say that all of the Lyman imports are good starting places when it comes to muzzleloading.
My Dixie catalog doesn't show a Deerstalker in Flint but that doesn't necessarly mean a flint version is not available.
The Dixie catalog does show the Lyman Great Plains rifle and the Lyman Trade rifle in both Percussion and Flintlock versions.
These Lyman imports are made by Interarms in Italy and they have proven to be well made.
The 1:48 twist found in the Lyman Trade rifle and Deerstalker will shoot both patched roundballs and lead slugs quite well and both projectiles are fully capable of taking deer.
The Lyman Great Plains Rifle's deep rifling and slow 1:60 twist is great for patched roundballs but heavy lead slugs work rather poorly in it.
As for an Inline, we cannot and will not discuss those guns on this forum. As you may have noticed when you signed up, this is one of the forum rules.
I'll just part on this issue by saying that in my opinion you would be better off putting your extra money in buying a quality sidelock gun or in buying some real black powder.
Speaking of black powder, you need to know that a Flintlock will work very poorly or not at all if it is loaded with ANY of the modern synthetic black powder substitutes. Their ignition point is too high for them to ignite reliably, even with a flash in the pan coming from a prime of real black powder. When one of the synthetic black powder substitutes is used to prime a flintlock, if it does ignite it burns much too slowly to create the flame front that passes thru the vent hole and ignites the main powder charge.
I don't know how much you have read about Flintlocks but if the lock is a quality lock and the gun is loaded and primed with real black powder the gun is easily capable of firing within .02 seconds after the trigger is pulled. That sounds like CLICK-BANG with the "click" being the flint hitting the frizzen (the vertical blade that makes the sparks).
The old often seen in the movies CLICK-WHOOOOOOOOOOOSH-BANG only happens when the gun is primed incorrectly. (The vent hole is buried under the priming powder).
If real black powder is not available in your area (you have to ask the gunshop for it because they cannot sit it out on the shelves) and one of the many synthetic black powder substitutes is the only thing you can buy you might want to consider the same guns mentioned above in Percussion. Percussion guns will fire those powders fairly reliably.
Also be aware that you can order real black powder delivered to your house but it has a "Hazardous" fee that must be paid to get the powder delivered. This amounts to about $20 per shipment but the size of the shipment may consist of more than one container. Many of our members order 5 or more pounds so the effective Hazardous fee amounts to about $4/pound.
Ask as many questions about Flintlocks and Percussion guns as you want to ask. Hopefully you will understand our position about discussing those "other" kinds of rifles.