John,
There is a fairly good selection of light weight shoes to choose from that are suitable for backpacking and, its a matter of you trying them on until you find a shoe that fits your foot. Your budget of $75.00 will limit your selection quite a bit but there is a way of getting around that with a little patience. What I have found is, a manufactures' line will have a similar fit for each model and once you find a brand or two that works for you, keep an eye out for sales and buy two pairs of shoes if possible. Read through the gear list specifically looking for the shoes that are on the list and you will find many hikers using the same brands and that would be a good starting point for you.
The shoes that seem to be commonly worn are, New Balance, Solomon, Brooks, Merrel, Altra, Vasque, Inov 8 and a few others. The commonality between these brands lies mostly from them having a combination of a little wider toe box, a good aggressive tread (stay away from a shoe with a flat tread) and light weight.
I started with a pair of Merrels and they just didn't work for me and last year I bought a pair of Brooks Cascadia and that shoe fit me very well but, I could only get about 250 miles out of them before the tread would rip apart because the rubber compound was just to soft. The first pair I bought I kept, thinking it was just a bad copy. After the second pair did the very same thing at roughly 250 miles, I took them back to REI and bought some Vasque Mindbenders and, they are still going strong with 700+ miles on them. How I look at the cost of a shoe is, how much wear am I getting from them? The Brooks and the Vasque were roughly the same price at the store but, I'm getting three times the mileage from the Vasque.
I have read many very good reviews about the Altra Lone Peak shoe and I will be trying those on for fit when the Vasque finally start falling apart or, just buy another pair of the Vasque.
Another thing you may want to do is, replace the insoles every 250 miles and, if you can get it into your budget, buy a pair of premium insoles that will last much longer, such as some "Sole" brand, "Dean Karnazes" or similar.