For a chopper / machete Kershaw Outcast Knife
would be an excellent way to go. I have one that serves as my camp knife, Along with a BK-2 that I carry. There is a good review of it at Kershaw Outcast Knife Review
There are lots of excellent high end knives out there. I have a very few. Some cost so much to be honest I cringe every time they get scratched. IMO you do not need to spend a fortune for a real world hard use knife. Men that really use combat / survival / fighting blades just don't have a lot of money to spend on high end blades. For 25 years Ethan Becker has been designing top quality knives for the working man. Knives that work for a living. Honest clean functional indestructible designs, that are just plain brutal to anything they come up against. Combine that with the fact that since 1942 during WWII when a KA-BAR became the Marines official combat knife, KA-BAR has the proven production skills to produce premier quality hard use knives that have served American warriors in every war we have been in since. KA-BAR not only set the standard by which all other combat / survival / fighting knives are measured. KA-BAR created the standard. Becker's designs have raised that standard to a whole new level of performance and value. Easily equal to many knives costing six or seven times as much. You will be hard put to find a better hard use knife at any price. IMO for under $100 no one comes even close. Take a look at any of these KA-BAR / BECKER knives
KA-BAR / Becker BK-2 "Becker Campanion"
KA-BAR / Becker BK-7 "Becker Combat Utility"
KA-BAR / Becker BK-9 "Becker Combat Bowie"
I agree on a 4 to 5 inch blade is ideal for a survival knife. After that the blade gets to cumbersome for a lot of field craft needs. That is why my Outcast is my camp knife and the BK2 is the knife on my hip.
I also agree that you do not want to bet your life on a cheap knife. On the flip side there is absolutely no reason or need to go with only a high dollar knife. Especially for someone who is new to knives. It is better to get a good quality knife that you are not afraid of using. With a Becker you can learn what a real quality survival knife is and should be capable of. That is why I suggested the BK-2. though many prefer the 7 inch blade of the BK 7 and it may be an option for you.
Again this is not a cheap knife, as I have said both KA-BAR and Becker have established their reputations by providing top of the line quality knives at affordable rates. IMO it is the perfect knife for someone new to knives and any skilled woodsman who appreciates quality over image. Get the BK2, use it, get to know it. It will set the standard that you will judge all other knives by and than be the one that you will use when you want a really good knife you can bet your life on. Than if you decide to invest in a more expensive knife you will know what a good quality knife should be. You will see that BK2 compares favorably to many much more expensive knives
KA-BAR / Becker BK-2 "Becker Campanion"
Overall length: 10.5"
Cutting Edge Length: 5.25"
Blade Width: 1.75"
Weight (knife only): 14.6 ounces
Drop point blade style, flat grind
Maximum thickness: .25"
1095 Carbon Steel, 58 Rc.
Removable Grivory handle slabs
BK 2 hard shell black glass filled nylon sheath.: $ 56.46
RC-6 w/ Molded Sheath
Overall length: 11.75"
Cutting Edge Length: 5.75"
Blade Width: 1.56"
Weight (knife only): 11.8 ounces
Drop point blade style, full flat grind
Maximum thickness: .188"
1095 Carbon Steel, 57 Rc.
Removable lined Micarta handle slabs
RC-6P - Plain Edge with molded sheath: $ 200.34
A bit of an aside, For a survival knife use the Becker line of knives are so popular with many woods man that several have developed survival kits that fit into their hollow handle that can hold essential survival items. These survival kits can be used in most any Becker knife as most of their handles are all essentially the same My BK-7 Kit Knife SASS