For that purpose I'd just hit up a few thrift stores and get something that works good enough.
Hiking
Unfortunately thrift stores around me never seem to have much in the way of decent hiking boots, especially nothing in a wide size.
If you’re in the us goodwill has an auction site that I’ve gotten some great deals on
I'm not sure what cheap is to you, but I purchased a pair of Keen hiking boots and they are an absolute dream as I also have wider feet.
I'm pretty thrifty and try and find cheap things but I've been disappointed with other brands. They weren't water proof as claimed and were like $80.00.
I decided to try keen for $150.00. No regrets. They are comfortable and have a nice size toe box so I don't feel like my feet are squished.
Here is a link, but unfortunately they went up in price. Likely because of tarriffs. Maybe you can get them somewhere else?
I'd normally call $150 fairly cheap for boots (my Danners are, after all, north of $400) but for this case I'd probably call $150 my hard upper limit for this purpose.
I've also had pretty good luck with keen in the pasto but it's been a while. If it weren't for tariffs driving up the price those would probably have been my pick.
I have a stupid little voice in my head that would like to pay half of that for this purpose, but I know I'd be really scraping the bottom of the barrel at that price, so my ideal is probably around $100
Columbia Newton Ridge II are my go to cheap boots. They're good for wider feet, don't need too much break in, and are pretty comfortable.