In my experience in the US, a Friday morning wedding is very unusual, not rude, just unusual. I have only been to weddings on weekends and then only in the afternoon or evening. Most people I know work in an office environment during the week, so having it on Friday would entail taking at least one day off. Provided the OP can accept that a Friday morning wedding may limit attendance, and will not get offended if people can't make it, then there is not reason not to do it.
If I were planning on a strict budget, I'd probably go with a Friday afternoon, and then have either beer and wine only or a cash bar, to avoid the expense of an open bar and still provide the alcohol that my circle would expect at a wedding reception. I might also look into hotels oriented towards business travelers rather than an event venue to see if they would offer a less expensive price on a weekend when they might not be as busy.