Job Based Accounting Software

Sounds like you might be looking for a job costing add-on or integration, in which case there are a lot of them out there that are designed for different industries. With the budget you mentioned, you might want to look at an accounting program, and then do a search for job costing software that integrates with it. Search Ex: "xero job costing add on for electrician". I have also seen this process done the other way...in selecting an industry specific job costing program, and then choosing an accounting program that it works with. Or, you might find a single software solution in something like QuickBooks Premier Contractor. Your options will change depending on your specific industry and the size of your business.

If Quickbooks is acceptable for your company, you could look at the QB Contractor Edition plus a timekeeping add on from the Intuit Marketplace.