Check Available Time Procedure

Hey Guys,
I hope someone can help on here with this. I have this Database where techs are scheduled and dispatched to perform tasks based on skus. What I am trying to achieve is finding the first available Tech based on their schedule and the appointments table.
Example User enters today's date and 5:30 AM and the search for all available techs to perform that task

the tables ddl is
USE [Schedule]
GO
/****** Object: Table [dbo].[AllDays] Script Date: 05/31/2006 01:13:49 ******/
SET ANSI_NULLS ON
GO
SET QUOTED_IDENTIFIER ON
GO
SET ANSI_PADDING ON
GO
CREATE TABLE [dbo].[AllDays](
[ID] [int] NOT NULL,
[DayString] [varchar](20) COLLATE SQL_Latin1_General_CP1_CI_AS NOT NULL,
CONSTRAINT [PK_WorkingDays] PRIMARY KEY CLUSTERED
(
[ID] ASC
)WITH (IGNORE_DUP_KEY = OFF) ON [PRIMARY]
) ON [PRIMARY]

GO
SET ANSI_PADDING OFF
USE [Schedule]
GO
/***Appointments Table where trouble is *****
/****** Object: Table [dbo].[Appointments] Script Date: 05/31/2006 01:17:49 ******/
SET ANSI_NULLS ON
GO
SET QUOTED_IDENTIFIER ON
GO
CREATE TABLE [dbo].[Appointments](
[ID] [int] IDENTITY(1,1) NOT NULL,
[Customer_ID] [int] NOT NULL,
[Tech_ID] [int] NOT NULL,
[StartTime] [datetime] NOT NULL,
[EndTime] [datetime] NOT NULL,
[App_Date] [datetime] NOT NULL,
[Created_By] [int] NOT NULL,
[Date_Created] [datetime] NOT NULL,
[Sku_ID] [int] NOT NULL,
[Comment_ID] [int] NOT NULL,
CONSTRAINT [PK_TechsShifts] PRIMARY KEY CLUSTERED
(
[ID] ASC
)WITH (IGNORE_DUP_KEY = OFF) ON [PRIMARY]
) ON [PRIMARY]

GO
USE [Schedule]
GO
ALTER TABLE [dbo].[Appointments] WITH CHECK ADD CONSTRAINT [FK_Appointments_Comments] FOREIGN KEY([Comment_ID])
REFERENCES [dbo].[Comments] ([ID])
GO
ALTER TABLE [dbo].[Appointments] WITH CHECK ADD CONSTRAINT [FK_Appointments_Techs] FOREIGN KEY([Tech_ID])
REFERENCES [dbo].[Techs] ([ID])

USE [Schedule]
GO
/****** Object: Table [dbo].[Schedule] Script Date: 05/31/2006 01:19:31 ******/
SET ANSI_NULLS ON
GO
SET QUOTED_IDENTIFIER ON
GO
CREATE TABLE [dbo].[Schedule](
[ID] [int] IDENTITY(1,1) NOT NULL,
[Tech_ID] [int] NOT NULL,
[AllDayID] [int] NOT NULL,
[ShiftStartTime] [datetime] NOT NULL,
[ShiftEndTime] [datetime] NOT NULL,
CONSTRAINT [PK_Schedule] PRIMARY KEY CLUSTERED
(
[ID] ASC
)WITH (IGNORE_DUP_KEY = OFF) ON [PRIMARY]
) ON [PRIMARY]

GO
USE [Schedule]
GO
ALTER TABLE [dbo].[Schedule] WITH CHECK ADD CONSTRAINT [FK_Schedule_AllDay] FOREIGN KEY([AllDayID])
REFERENCES [dbo].[AllDays] ([ID])

Plus the Techs Table which holds their ID's names etc
I have a snapshot (http://webdivisions.net/images/relation.gif) of the relationship posted here if that can help

Thanks for any input