@Saran Mandhadapu Hi Saran. I don't think any management company would allow that since besides the 10%ish of rent monthly , the first month rent for placing a new tenant in is often the revenue. This is why it's often challenging to find a good maintenance company because their interest and the owner's interest don't often align. Owners want to keep long-term tenants while the property maintenance company makes the most when there's a tenant turnover.
Showing is often the most time-consuming so if you're doing that already, why not just have them apply online using cozy.co as people suggested above? Check out tenantcloud.com as well for a free application, screening, rent payment, and maintenance request.
The other option is to just delegate these tasks out without hiring a management company, but it depends on the scope of work. For example, hire an assistant or find a motivated college student to deal with the online application/screening for you. It should take about 2 hrs max of their time. While the price might be lower, you will have to explain your expectations and guide them a bit.