TL / DR . Here you can configure the problem. Getting a series of answers that are "close" is not available for Solver. You can do this with VBA if you define additional criteria for your search. (Edit - added setting for specific makeup)
Comments
There seems to be no criteria that “a number should be selected from each category” or “a number should be selected from category X”. Rather, you have a bunch of numbers, each of which belongs to a category, but want to find a combination of numbers that provide a certain amount - then explore the categories later.
Initial setup of the problem
, , ...

A () B () - . C () 0 1. D () - =B2*C2, .
F2 - D. G2 ( ). H2 - =(F2-G2)^2.
...

- Set Objective:
$H$2 - - To: Min. Value Of: 0, , .
- :
$C$2:$C$17 C. - :
$C$2:$C$17 = binary. 0, 1. - : "". GRG Nonlinear , , .
- , . , 106.61 CalcTotal (, - )...

Solver - , "", .
, .
, , C1, . :

... ...

$C$10 " :" "Subject To Constraints:". , $C$10 = 1.
, , , , B. , , , . ...

... ...

, , VBA, Solver, " " .
, , , - , .
-
- " : A, B, B, C, C, C, (B C), (B C), D, E"
, , , ...
- $G $4 = 1
- $G $5 <= 4
- $G $5 >= 2
- $G $6 <= 5
- $G $6 >= 3
- $G $7 = 1
- $G $8 = 1
: A1, B2, B3, C1, C3, C4, C5, C6, D1, E1 106,38.