We get it. You do not have a money tree growing in your backyard. We totally understand that your existing website doesnt drive enough revenue for you to really have any sort of true budget for a new website. We totally understand that for some, times are really hard, and for others, times are wonderful for the first time ever and they want to hoard cash like a squirrel burying acorns before a long winter. We get it.
Did you ever stop to think about the true purpose of your website in the first place? At the absolute core, a website has only one of two possible true goals. Traffic or Revenue. Of course you can argue that there are other goals of websites, but, without traffic, you do not exist. Without traffic you do not generate revenue. Without revenue, you do not exist for long. If your website is not driving traffic or revenue, it has NOTHING to do with how it looks. It has to do with the way your audience finds you in the first place and whether your product, service or solution actually has any value worth visiting or purchasing.
Back to guarding your wallet... If you were going in for surgery, take plastic surgery, for a bit of cosmetic improvement (redesign) before the summer. Would you shop around looking for a surgeon that can fit you in immediately, offer world class results, and be inexpensive? Sure, a ton of surgeons with tell you, this is possible. But then the television show BOTCHED wouldn't be so successful.
You see, there is a fundamental truth to hunting for deals. "You Buy Cheap, You Buy Twice." Try to apply this anywhere in your life. Especially with a website. Sure, you can certainly find an "agency" or an individual or small team that can build your "dream" on a budget, but, if that was the case, why are your looking for a redesign? I thought they built you your DREAM website?
If you want high quality, you cannot have it fast and cheap. If you want high quality, you can likely have it fast, but it will be more expensive due to expedition fees and staffing. If you want something to be super fast, you likely cannot get it for cheap AND high quality. And if you want something cheap, either be prepared to not have a deadline, or be prepared for the quality to suffer and for corners to be cut.
If you are truly worried about budget AND you want it fast, AND you want it high quality, keep moving. We are not the team for you. Were surgeons. You pay for what you get.