Depending on how much money you want to spend and whether or not you want a "new" rifle your choices could be almost endless.
In the "off the shelf" market you are limited to offerings by Traditions IN 32 CAL (no 36 offering) and Pedersoli.
The Traditions will get you shooting tree rats for about 600 bucks (rifle/powder/accessories). It will shoot well and is a good rifle to get started with.
You may not like it so you won't have a great deal invested if you decide on another hobby.
If you are looking for a little better fit/finish than Traditions offers you could look to Pedersoli. In the 700-1000 dollar range they have a few offerings in 36 cal.
I won't offer an opinion on Sitting Fox because I have no first hand experience - others do and it seems like it's a roll of the dice whether you get a decent or sub-standard rifle from them.
If you want to spend a little more, maybe 1500'ish, then a few more options open up. Semi-custom builders such as Tip Curtis and TVM (Matt) do some nice work in that price range.
If you have 100 dollar bills practically falling out of your wallet, it is not all that difficult to find a rifle in the 5-10K range, but you usually don't drop that on a "starter rifle" :grin:
If you don't mind used, then you can watch the "for sale" postings, check local gun shops - 36's pop up from time to time - it's possible you could set yourself up for a couple hundred bucks.
Just be careful if you ever shoot a "black powder squirrel" they tend to explode if you hit them right, so stay well back :rotf: