A couple other options for you to consider.
Have you tried some local construction companies? With spring not quite in full swing a lot of company's are not in full swing and may be willing to bang out a quick shed style coop for you.
Another is your local craigslist, facebook. Your want a 'handyman' looking for work. At craigslist look in 'Services' section, look in 'skilled trade services'. Here's one I found in my area in a quick search..
View attachment 3775095
If you find the right one that has chickens.... Bonus
Just gotta ask for a lean-to style shed build and then go in to your finish details, ventilation, roosts, nestboxes etc. if their interested.
A quick 8 x 6 coop build would give you a little extra for your 10 birds at 48 sqft, 8 x 8 even better at 64 sqft... Whatever your budget allows.
An additional note... DO NOT pay in full, up front. Usually 1/2 down or price of materials is standard in construction to start. Check their references and ask for pics of work completed.
Lots of good guys out there looking for work...
You could also post a wanted ad, btw.
Good luck to you...