For that purpose I'd just hit up a few thrift stores and get something that works good enough.
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.