buying and upgrading will always being more expensive than buying what is needed. A new $88 bike is just going to fall apart fast. If you do go that way, get a single speed bike as it will be simpler and less chance of breaking
Better option is to look for a used bike..... garage sales, Craigslist. A used mountain bike would work well. You can also look to see if there is a local bicycle co-op that has used bikes or can help you fix a bike up.
On the positive side most non race bikes can handle clydes and athenas.... I would look for a bike and ride and deal with thing if they break.
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Life is too short not to ride the best bike you have, as much as you can
(looking for Torpado Super light frame/fork or for Raleigh International frame fork 58cm)